- e unknown sides, then Heron's formula and trigonometric functions to calculate area and other properties of a given triangle. If you know one side and adjacent angle and opposite angle use AAS calculator
- Calculator Use Uses the law of sines to calculate unknown angles or sides of a triangle. In order to calculate the unknown values you must enter 3 known values. Some calculation choices are redundant but are included anyway for exact letter designations
- Sine Law Calculator and Solver Online calculators, using the sine law, to solve triangle problems. The first calculator solves triangle problems when 2 angles and one side opposite one of the angles are given (AAS case). The second calculator solves triangle problems when 2 angles and one side between the two angles are given (ASA case)
- Law of sines application Law of sines calculator - how to use it? This law of sines calculator is a handy tool for solving problems that include lengths of sides or angles of a triangle. We will explain the law of sines formula and give you a list of cases in which this rule can be deemed useful
- Together with the law of cosines, the law of sines can help when dealing with simple or complex math problems by simply using the formulas explained here, which are also used in the algorithm of this law of sines calculator. A = sin-1[ (a*sin (b))/b

- Free Law of Sines calculator - Calculate sides and angles for triangles using law of sines step-by-step This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy
- Law of Sines Calculator Online trigonometry calculator, which helps to calculate the unknown angles and sides of triangle using law of sines
- Solving Triangles - using Law of Sine and Law of Cosine Enter three values of a triangle's sides or angles (in degrees) including at least one side. (Angle A is the angle opposite side a. Angle B is the angle opposite side b
- ed by the law of cosines. Then use Heron's formula and trigonometric functions to calculate area and other properties of a given triangle
- ASA is when we know two angles and a side between the angles. To solve an ASA Triangle find the third angle using the three angles add to 180° then use The Law of Sines to find each of the other two sides

- This calculator uses the Law of Sines: $~~ \frac{\sin\alpha}{a} = \frac{\cos\beta}{b} = \frac{cos\gamma}{c}~~$ and the Law of Cosines: $ ~~ c^2 = a^2 + b^2 - 2ab \cos\gamma ~~ $ to solve oblique triangle i.e. to find missing angles and sides if you know any 3 of the sides or angles. Also, the calculator will show you a step by step explanation
- The law of sines basically states that each side and its opposing angle's sine are related in the same way: The law of cosines is a generalization of the Pythagorean theorem and it tells us that c 2 = a 2 + b 2 - 2ab·cosγ using the side and angle notations from our calculator graph above
- Also, you can combine the law of cosines calculator with the law of sines to solve other problems, for example, finding the side of the triangle, given two of the angles and one side (AAS and ASA). Law of cosines proofs. There are many ways in which you can prove the law of cosines equation. You've already read about one of them - it comes.
- This calculator uses a special trigonometric rule to demonstrate the Law of Sines, as follows: Given a triangle of sides A-B-C and angles of a-b-c, where complementary letters are the side and angle opposite each other, A / sin(a) = B / sin(b) = C / sin(c).The ratios between all three pairs of sides and angles will always be the same, regardless of what shape or size of triangle
- e the third angle value by using the angle sum property of a triangle, and then deter

Calculator Use Uses the law of cosines to calculate unknown angles or sides of a triangle. In order to calculate the unknown values you must enter 3 known values. To calculate any angle, A, B or C, enter 3 side lengths a, b and c Law of Sines - ASA - Mr. C. Added Aug 1, 2010 by Mr. C. in Mathematics Using the Law of Sines in a triangle where the ASA are known, find the length of the side opposite the second angle height (or side a) = side b • sine (angle A) and so if: • side a height - no solution because side a doesn't reach side c. • side a = height - one solution. Side a just reaches side c and forms a right triangle. • side a > height - two solutions. This is the ambiguous case. Side a is long enough to reach side c in two places

We can use the law of sines along with the law of cosines to solve triangles, which means to calculate a triangle's three sides and three angles. We can use the law of sines to solve SSA, SAA, or ASA triangles. Proof Law of Sines - The Ambiguous Case Questions: Why can't we use th * Since A = 34 < 90 and a < b, we again calculate the value of sin B using the Law of Sines: 2 sin34° = 3 sin yields that sin B = 0*.839, which is between zero and one. Hence there will be two possible triangles to solve for. First Triangle =sin−10.839 = 57.01 Therefore =180°−34°−57.01°=88.99

The law states that if we divide side a by the sine of angle α is equal to side b divided by the sine of angle of B & side c divided by the sine of angle of γ. When any one part of the side & angle is given say (side a & angle A) Using the Law of Sines as stated above, a/ Sine α —> (1 ** http://www**.greenemath.com/http://www.facebook.com/mathematicsbyjgreeneHere, we will learn how to use the law of sines (SAA) & (ASA) to solve oblique triangle.. When to Use the Law of Sines. The Law of Sines is utilized whenever you have either Angle-Side-Angle (ASA) or Angle-Angle-Side (AAS) congruency. In fact, we will also learn one more type of congruency that the Law of Sines can be used in our next lesson titled the Ambiguous Case The **Law** **of** **Sines** is also known as the **sine** rule, **sine** **law**, or **sine** formula. It is valid for all types of triangles: right, acute or obtuse triangles. The **Law** **of** **Sines** can be used to compute the remaining sides of a triangle when two angles and a side are known (AAS or **ASA**) or when we are given two sides and a non-enclosed angle (SSA) Learn how to Solve a Triangle using the Law of Sines when only given Angle-Angle-Side (AAS) or Angle-Side-Angle (ASA). Also, learn to calculate the missing c..

- If you're in a hurry and want to save time, enter the side lengths into the law of sines calculator. Follow these steps below. 1. Choose the option that suits your values. In our example, it would be SSS (three sides). 2. Enter the values you know. We know a = 4, b = 5, and c = 6. 3. Let the calculator produce the results
- use The Law of Sines first to calculate one of the other two angles; then use the three angles add to 180° to find the other angle; finally use The Law of Sines again to find the unknown side. Example 1. In this triangle we know
- 7.1 Law of Sines. We have already seen how to find sides and angles in a right triangle using the basic definitions of the trigonometric functions. Now we will see how to do this in general triangles. The two tools we have for this purpose are the law of sines and the law of cosines.Both describe connections between angles and sides of a given triangle
- Taking Charge of Oblique Triangles with the Laws of Sines and Cosines - The Essentials of Trigonometry - Getting ready for calculus but still feel a bit confused? Have no fear. This book is an un-intimidating, hands-on guide that walks you through all the essential topics, from absolute value and quadratic equations to logarithms and exponential functions to trig identities and matrix operations
- Law of sines calculator. Free Law of Sines calculator - Calculate sides and angles for triangles using law of sines step-by-step This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy. How does this law of sines calculator work
- ASA or AAS Given two angles and one side Find the third angle by adding to 180 Find a second side using the Law of Sines. You will get the correct approximate answer from your calculator. Find the third side using the Law of Sines. Beware of using a rounded off answer to ﬁnd a second rounded off answer. The rounding errors will compound

Sine calculator online. sin(x) calculator. This website uses cookies to improve your experience, analyze traffic and display ads The American Society of Anesthesiologists Physical Status classification system (ASA PS) is a method of characterizing patient operative risk on a scale of 1-5, where 1 is normal health and 5 is moribund. Homework: Sec 7.1_Law of Sines AAS or ASA Save Score: 0 of 1 pt 3 of 3 (1 complete) HW Score: 33.33%, 1 of 3 pts 7.1.43 Question Help.

The Law of Sines can also be written in the reciprocal form For a proof of the Law of Sines, see Proofs in Mathematics on page 489. sin A a sin B b sin C c. A B a c b C a, b, c, A, B, C, 430 Chapter 6 Additional Topics in Trigonometry What you should learn •Ue tshe Law of Sines to solve oblique triangles (AAS or ASA). •Ue tshe Law of Sines. **Law** **of** **Sines** 83+ v1.2 Solve for angle A or side a of any real triangle. **laws**.zip: 2k: 03-03-11: **Laws** These programs Calculate **Law** **of** **Sine** functions. And **Law** **of** Cosine Functions, Great for use on tests (b/c they also display the formulas) 3/11/03. lawtrig.zip: 3k: 04-05-10: **Laws** **of** Trigonometry 83+ v1. Apply the Law of Sines (ASA) Because two angles are given, Z = 180° -(62° + 49°) or 69°. Use the Law of Sines to find the distance to the balloon from each building. Divide. Multiply. Substitution Law of Sines The Law of Sines. The Law of Sines (or Sine Rule) is very useful for solving triangles: a sin A = b sin B = c sin C. It works for any triangle: a, b and c are sides. Example: Calculate angle R. The first thing to notice is that this triangle has different labels: PQR instead of ABC. But that's OK. We just use P,Q and R instead of A, B and C.

Law of sines 1. Law of Sines 2. • The law of sines is a rule that is used in finding the angles of general triangles. • This law is applicable where two sides of a triangle and the angle opposite one of them are given. • In such a case, the angle opposite the other side of the triangle can be calculated using law of sines Law of Sines. Just look at it.You can always immediately look at a triangle and tell whether or not you can use the Law of Sines. You need either 2 sides and the non-included angle or, in this case, 2 angles and the non-included side.. The law of sines is all about opposite pairs.. In this case, we have a side of length 11 opposite a known angle of $$ 29^{\circ} $$ (first opposite pair) and we. View 08-06Law of Cosine and Sine.pptx from SCIENCE D119 at Dade County High School. Law of Sines (AAS or ASA) Find p. Round to the nearest tenth. We are given measures of two angles an * (Angle-Side-Angle, ASA) or it could be one of the other two sides (Side-Angle-Angle, SAA)*. Let's now look at a couple of examples of these two situations and how the Law of Sines is used to solve the triangles. Example 1: Solve the given triangle using the Law of Sines. Round lengths to the nearest tent

Free practice questions for Precalculus - Solve a Triangle Using the Law of Sines (ASA, SAA, AAS). Includes full solutions and score reporting (The law of sines can be used to calculate the value of sin B.) 1. If applying the law of sines results in an equation having sin B > 1, then no triangle satisfies the given conditions. 2. BIf sin B = 1, then one triangle satisfies the given conditions and = 90°. 3. If 0 < sin B < 1, then either one or two triangles satisfy the given conditions 10. State whether the Law of Sines or Law of Cosines is the best choice to solve for x for the given figure. Substitute the values into the appropriate formula (do not solve). For find the length of to the nearest whole degree, given , and . III. Use the Law of Sines and Law of Cosines to find missing dimensions. 11 The law of sines formula allows us to set up a proportion of opposite side/angles (ok, well actually you're taking the sine of an angle and its opposite side). For instance, let's look at Diagram 1. One side of the proportion has side A and the sine of its opposite angle

You can use the Law of Sines to solve triangles when two angles and the length of any side are known (AAS or ASA cases), or when the lengths of two sides and an angle opposite one of the two sides are known (SSA case). TTheoremheorem Theorem 9.9 Law of Sines The Law of Sines can be written in either of the followin Problem 1 gives students the opportunity to review the Law of Sines and Cosine. They are also asked to recall from Geometry what SAS, ASA, SAA, SAS, SSS, and SSA mean and which one does not always work. In Problem 2, students prove the Law of Sine. The proof involves using right triangle trigonometry

Law of Sines (SAA) and (ASA) Law of Sines area formula (SAS) Law of Sines ambiguous case. Law of cosines. Finding the area of a triangle using Heron's formula (SSS) Finding the Component Form of a Vector. Finding the Magnitude of a Vector. Finding the Direction Angle of a Vector. Finding the Resultant (Sum) of Two Vectors Graphicall The law of sines is used in determining t... Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in. 1. Use the Law of Sines to calculate one of the other two angles. (Test for ambiguous case) 2. Find the third angle, since we know that angles in a triangle add up to 180°. 3. Use the Law of Sines again to find the unknown side. How to solve SAS Triangles? SAS (side-angle-side) means that we are given two sides and an angle that is between the. Solve the triangle: = 35°, b = 5, =70°. This is so named ASA case: the side of the triangle and two its adjacent angles are given. Figure 3 is the sketch to illustrate the triangle we are going to solve. First, find the third angle, .Since =180°, we have = 180°-=180°-35°-70°=75°. Next, calculate side a using Law of Sines with known side b and angles and Learn sines and cosines math with free interactive flashcards. Choose from 500 different sets of sines and cosines math flashcards on Quizlet

The Law of Sines can be used to solve oblique triangles, which are non-right triangles. According to the Law of Sines, the ratio of the measurement of one of the angles to the length of its opposite side equals the other two ratios of angle measure to opposite side. There are three possible cases: ASA, AAS, SSA ** Law of Sines Take the inverse of each side**. Use a calculator. 15. Angle Sum Theorem Subtract 168 from each side. Use the Angle Sum Theorem to find Answer: 16. Determine whether the Law of Sines or the Law of Cosines should be used first to solve Then solve Round angle measures to the nearest degree and side measures to the nearest tenth. Answer

** We can use the law of cosines along with the law of sines to solve triangles, which means to calculate a triangle's three sides and three angles**. We can use the law of cosines to solve SSS or SAS triangles. Many people think the Pythagorean Theorem is the most beautiful theorem in math. The Pythagorea Use the law of sines if two angles and a side are known (ASA or AAS) or two sides and an opposite angle are known (SSA). For convenience, when labeling a triangle, the side opposite an angle is named with the same letter, but lowercase. Figure 2: Example of triangle used for law of sines Day 1 law of sines notes.notebook 2 October 27, 2017 Law of Sines or These equations are used to solve oblique triangles. You must be given the following to use this law. 1) Two angles and any side (AAS or ASA) 2) Two sides and an angle opposite one of the The law of cosines (sides of an triangle and opposite angles

The Law of Sines is an interesting little tool that can be used to find missing sides and angles. This formula works as a proportion, so if you don't know much about or if you are having trouble with proportions, I suggest you go to the page for Proportions in Algebra 1 LAW QF SINES: If ABC is a triangle with sides a, b, and c, then sin A sin B sin C Tips: **What does solve the triangle mean? **When using the Law of Sines (SSA case), the smaller two angles must always be determined first. Why? **When using decimal values in the calculator, you may round to write them on your paper Math; Precalculus; Precalculus questions and answers; Use the law of sines to solve: (Not drawn to scale.) 1. AAS 750 5.5 35° A b 2. ASA 15,69 6.4 a 105.2° 6 Label as ASA or AAS and solve: 3

The Laws of Sine and Cosine Objectives: Given a triangle and three quantities (ASA, SAS, SSS, SSA, AAS) of data about the triangle, use the law of sines, or the law of cosines to determine the three remaining unknowns. Discussion Every triangle has three vertices and three sides Together with the law of sines, the law of cosines can help in solving from simple to complex trigonometric problems by using the formulas provided below. These calculations can be either made by hand or by using this law of cosines calculator. A = cos-1 [(b 2 +c 2-a 2)/2bc The Law of Sines is very applicable in the real world. The Law of Sines helps to measure things like lakes, ravines, or other objects that are hard to measure directly. The Law of Sines can be used to solve for any part of a triangle that is unknown when we are given two angles and an included side (ASA), two angles and a non-included side (AAS. Initially, write down all given inputs here and then use the law of sines to find the other two sides of the triangle. The formulas you need to apply to calculate two sides are b = sin(β) * a / sin(β + γ) and c = sin(γ) * a / sin(β + γ). Apply the input angles and one length value in the above formulas and calculate the two side values Spherical Trigonometry|Laws of Cosines and Sines Students use vectors to to derive the spherical law of cosines. From there, they use the polar triangle to obtain the second law of cosines. Arithmetic leads to the law of sines. Comparisons are made to Euclidean laws of sines and cosines. Finally, the spherical triangle area formula is deduced

II. The Law of Cosines When two sides and the included angle (SAS) or three sides (SSS) of a triangle are given, we cannot apply the law of sines to solve the triangle. In such cases, the law of cosines may be applied. Theorem: The Law of Cosines To prove the theorem, we place triangle UABC in a coordinate plane wit Question: Question 33 (1 Point) Listen Assume A Triangle ABC Has Standard Labeling. Determine Whether SAA, ASA, SSA, SAS, Or SSS Is Given. Then Decide Whether The Law Of Sines Or The Law Of Cosines Should Be Used To Begin Solving The Triangle

Law of Sines The Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles .Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle We could use the Law of Cosines again, or, since we have the angle-side opposite pair \((\beta, b)\) we could use the Law of Sines. The advantage to using the Law of Cosines over the Law of Sines in cases like this is that unlike the sine function, the cosine function distinguishes between acute and obtuse angles We derived the symmetrical version of the Law of Cosines in the proof above, which ironically had a sine in it. We can pretty this up by adding the identity. so the rational form of the Law of Cosines becomes. That's a beautiful form of the Law of Cosines, and fairly directly implies the rational Law of Sines as well, because is symmetri Triangle Calculator to Solve SSS, SAS, SSA, ASA, and AAS Triangles This triangle solver will take three known triangle measurements and solve for the other three. The calculator will also solve for the area of the triangle, the perimeter, the semi-perimeter, the radius of the circumcircle and the inscribed circle, the medians, and the heights

Angle Side Side triangle theorems calculator to find area, perimeter of ASS triangle. Code to add this calci to your website Just copy and paste the below code to your webpage where you want to display this calculator Input directly into your calculator. Step 2) Now that we have a complete family, we now switch to the Law of Sines. Only use the Law of Cosines once in a problem. IMPORTANT: to avoid a possible problem, always use the Law of Sines to find the smallest angle remaining. So use the Law of Sines with your complete family and the smallest side.

I have a problem that I have worked out look below 1. determine the measure of angle C triangle ABC, given the following information. c= 59ft A= 65 degrees B= 64 degrees I have worked the problem using the ASA triangle using the law of sine here is what I got A + B + C =180 degree 65+ B+ 59 = 180 degree 124 + B = 180 B= 56 now I have to get A which is 65 degree/56 degree my problem is I have. Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other. The law of sine is used to find the unknown angle or the side of an oblique triangle. The oblique triangle is defined as any triangle, which is not a right triangle

The Law of Sines will work for the following situations: ASA, AAS and AS 1 S 2. The first two cases are congruence cases so when we solve for the missing information we are guaranteed to all get the same answers. Let's try a couple examples of the congruence cases of ASA and AAS. Solve for all angles & sides in the Δ Use the Law of Sines to solve oblique triangles (AAS or ASA) - A . Contact Us. If you are in need of technical support, have a question about advertising opportunities, or have a general question, please contact us by phone or submit a message through the form below Example 2 APPLYING THE LAW OF SINES (ASA) (continued) Now use the Law of Sines to find the length of side a. The distance across the river is about 305.5 feet. 347. s 6 10 in 060 a q q.n n 0 1. 0 0 a q q | Any calculator may be used; calculator needs to be in degree mode. We will learn to solve oblique (non-right) triangles using the Law of sines and Law of Cosines. The Law of Sines can be used to solve AAS, ASA, and SSA (special case) triangles. The Law of Sines In any triangle ABC, sin A sin B sin

Calculator Comments: You may want to work out the term with cos70 first. Remember to incorporate the −. Remember to take the square root at the end. We will continue to use variations of the Law of Cosines instead of mixing in the Law of Sines, because the latter requires more strategizing about order Ambiguous Case - Law of Sines. There are 5 situations when we need to use the Ambigious Case of the Law of Sines: Case I: Angle is acute. Side 'a' may or may not be long enough. to reach side 'c'. We calculate the height. of the altitude from angle C to side c to. compare it with side a The **law** **of** **sines** is used to finding missing sides and angles of triangles. This formula can be used for triangles in the form of AAS, **ASA**, and SSA. Triangles in the form SSS and SAS require the **law** **of** cosines b h a k c - k A B C c * Law of Cosines Similarly Note the pattern * Applying the Cosine Law Now use it to solve the triangle we started with Label sides and angles Side c first 15 12.5 26° A B C c * Applying the Cosine Law Now calculate the angles use and solve for B 15 12.5 26° A B C c = 6.65 * Applying the Cosine Law The remaining angle.

Law of Sines. The Law of Sines is simple and beautiful and easy to derive. It's useful when you know two angles and any side of a triangle, or two angles and the area, or (sometimes) two sides and one angle. Let's start by writing down things we know that relate the sides and angles of the two right triangles in the diagram above Precalculus: Law of Sines and Law of Cosines The Ambiguous Case The law of sines allows you to determine completely all the other information in the triangle provided you are given: two angles and a side (AAS and ASA). If you are given two sides and an angle which is not between the two sides (SSA), there might be zero, one, or two triangles. Solving trigonometric equations using a calculator; Right Triangle Applications. Solving right triangles; Solving applications using right triangles; The Law of Sines . Determining if the Law of Sines can be used to solve an oblique triangle; Using the Law of Sines to solve the SAA case or the ASA case; Using the Law of Sines to solve the SSA. Together with the law of sines, the law of cosines can help in solving from simple to complex trigonometric problems by using the formulas provided below.These calculations can be either made by hand or by using this law of cosines calculator Sine and cosine law calculator This calculator uses the Law of Sines : $~~ \frac{\sin\alpha}{a} = \frac.

Is SAS law of cosines? SAS is when we know two sides and the angle between them. use The Law of Cosines to calculate the unknown side, then use The Law of Sines to find the smaller of the other two angles, and then use the three angles add to 180° to find the last angle Law of sines and cosines are used to solve the oblique triangles. Oblique triangles are the triangles with no right triangles. Law of sines are applicable if the triangles are given with two angles and a side included i.e. ASA or SAA and with two sides and angle opposite one of those sides i.e. SSA. math law of sines and cosines are area. STUDY. Flashcards. Learn. Write. Spell. Test. PLAY. Match. Gravity. Created by. maddiesandy. Terms in this set (13) what types of triangles can you use law of sines. ASA and AAS. what is the equation for law of sines. sinA/a = sinB/b = sinC/c (using calculator in degrees. 1/2r^2(θ x π/180 - sin θ. 11.3 The Law of Cosines In Section11.2, we developed the Law of Sines (Theorem11.2) to enable us to solve triangles in the 'Angle-Angle-Side' (AAS), the 'Angle-Side-Angle' (ASA) and the ambiguous 'Angle-Side-Side' (ASS) cases. In this section, we develop the Law of Cosines which handles solving triangles in th

In this mini-lesson, we will explore the world of the law of cosine. We will try answering questions like what is meant by law of cosine, what are the general formulas of law of cosine, understand the law of cosine equation, derive law of cosine proof and discover other interesting aspects of it Explain 1 Applying the Law of Sines The results of the Explore activity are summarized in the Law of Sines. The Law of Sines allows you to find the unknown measures for a given triangle, as long as you know either of the following: 1. Two angle measures and any side length—angle-angle-side (AAS) or angle-side-angle (ASA) information 2 sines g cosines B ASA B SAS sina.mg sinxI 16.2 CZ10216.2240.162.05112 53 Y C 2C C 483.8M A 12.8 3.2 A 10 22 sines 6 3 4216LNSin96 stores 328 ptosis 19 sines cosines 2 Il B ASA B SAS µ 51 75 Sin u 92104222 240112270543 ya5 545 C X yes 4 C 9 16.2 A 13.2 A 10 222 102 16.2221101462cos C 112 14 Itza sings sins ti 32 IN 64 32 11 46

Spherical trigonometry is the branch of spherical geometry that deals with the relationships between trigonometric functions of the sides and angles of the spherical polygons (especially spherical triangles) defined by a number of intersecting great circles on the sphere.Spherical trigonometry is of great importance for calculations in astronomy, geodesy, and navigation The Law of Sines (sine rule) is an important rule relating the sides and angles of any triangle (it doesn't have to be right-angled!): If a, b and c are the lengths of the sides opposite the angles A, B and C in a triangle, then: a = b = c. sinA sinB sinC The law of cosines is the more general one that applies to any triangle.0134. The Pythagorean theorem is the more specific one that just applied when angle C happens to be a right angle.0137. Let's see how it's used.0142. The law of cosines is really used in two situations.0146. First of all, it's used in a side angle side situation.015 ASA calculator solves the triangle from the known one side and two adjacent angles (ASA law) Uses law of sines to determine unknown sides, then Heron's formula and trigonometric functions to calculate area and other properties of a given triangle; If you know one side and adjacent angle and opposite angle use AAS calculator

Any calculator may be used; calculator needs to be in degree mode. We will learn to solve oblique (non-right) triangles using the Law of sines and Law of Cosines. The Law of Sines can be used to solve AAS, ASA, and SSA (special case) triangles Love this Law of Sines and Law of Cosines Maze! My Geometry students would like this worksheet / activity. G.9A Determine the lengths of sides and measures of angles in a right triangle by applying the trigonometric ratios sine, cosine, and tangent to solve problems The solution is unique in this case. General recommendations on choosing strategy to solve triangles 1) If you have ASA case (one side of the triangle and two adjacent angles are known), you may use the Law of Sines. See an example in the lesson Solve triangles using Law of Sines.The solution is unique in this case Well, [math]\sin 2 \theta = 2 \sin \theta \cos \theta[/math], [math]\cos^2 \theta = 1 - \sin^2 \theta[/math], so therefore [math]\cos \theta = \sqrt{1 - \sin^2 \theta.