2. Find the measure of co. 159° a° b° Co e° do O 100.5° O 21° O 159°

Q: An angle of measure π/6 intersects the unit circle at point (√ 3/2, 1/2). What is the exact value of…

A: Given ,  An angle of measure π/6 intersects the unit circle at point (√3/2 , 1/2) We have to find…

Q: Use the given information to find the exact value of the expression. sin a =, a lies in quadrant II,…

A:

Q: Suppose 80 e [7, 27] and cos 80 = find the value of cos 40, csc 40, and cot 40.

A:

Q: Given: sin a 13 Find: cos a and tan a

A:

Q: An angle of measure 120° intersects the unit circle at point (-. What is the exact value of…

A:

Q: What is cos A, if cos 2A , and 2A is an angle in the fourth quadrant? 16 13 13 16 16 13 13 16 no…

A: The solution of the problem is given in the next step.

Q: Given tan( a ) = 12/5 and angle a is in quadrant III. Find cos( a/2 ). O 2/13 13 O 3/13 13 O 3/13 13…

A: The objective is to find cos(a/2).

Q: You are given that cos(A) = --, with A in Quadrant III, and cos(B) = with B in Quadrant I. Find…

A: Using quadrant property and pythagoras theorem to find the value of sine and cosine,we can easily…

Q: 5 Given cos(8): and the terminal side of 8 lies on the fourth quadrant. What is the value of…

A: Given problem:- Given cos(θ)= and the terminal side of e lies on the fourth quadrant. What is the…

Q: Rewrite cos 42° in terms of a(n) 48° angle and in terms of the reciprocal of a trigonometric…

A:

Q: In the figure below, AXYZ AACB. Find cos B, sin B, and tan B. Round your answers to the nearest…

A: Given Data: Similarity: ∆XYZ~∆ACB From the given figure, XY=28 YZ=29.6 XZ=9.6 The ratio of sides of…

Q: Find the value of the indicated trigonometric ratio. cos B B 24 2/23 A 22 cos ß = %D

A:

Q: 12. Use a calculator to find values of y in degrees. a. cos (.5) b. sec (-2.46) c. tan (-45.543) COS…

A: Given, Part (a):

Q: Given that cosA=−5/13 and sinB=8/17, with A and B in quadrant II,  Find cos(A-B)

A:

Q: 1. Find cos(A), sin(A), and tan(A) for triangle ABC. 17 B 15 00

A: As per guidelines, we are supposed to solve only first question. Please repost other questions…

Q: Use the Law of Cosines to prove the identity cos A cos B cos C a? + b? + c? a b 2abc

A: cosAa+cosBb+cosCc=a2+b2+c22abc

Q: B b

A: Trigonometry is the study of the relationship between the sides and angles of a right-angled…

Q: You are given that cos(A) =, with A in Quadrant I, and sin(B) = - with B in Quadrant III. Find…

A:

Q: has side lengths 8, 15, and 17 as shown below. hs to find cos B, tan B, and sin B. A 15 17 C AB 8.

A:

Q: Given tan a = 24' a in the third quadrant, sin ß = ß in the second quadrant, find the exact value of…

A: In this question we have to find the value of the following trigonometry function.

Q: 15 8 C 17 A B.

A:

Q: Which expression is equivalent to cot? B(1- cos?B) for all values of B for which cot? B(1- cos²B) is…

A: We will use trigonometric relations.

Q: Given: cos A = 25' 4, cot A > 0 ; cos B = ", tan B > 0 4 %3D Find: (12) sin(A ±B) (13) cos(A ± B)…

A: Given That,  cos A = 2425,  cot A > 0                      cos B = 45 ,  tan B > 0…

Q: Determine the value of cot e if cos 0= (-N7/3) and e is in quadrant I.

A: Given: cos θ=-73, Where θ is in the third quadrant. To Find:  cot θ=?

Q: If tan A= and 0 <A<90, which of the following could be a value of cos A? 15 15

A:

Q: 18 25 7. 24

A:

Q: If the terminal side of a contains the point (-3, 4) and the terminal side of B contains the point…

A: We will evaluate all above as shown below

Q: 5 Given cos(8)= and the terminal side of 0 lies on the fourth quadrant. What is the value of cos 05…

A:

Q: If sin a= 12, and cos a= , then tan a=? A. В. 7 с. 3 D. 7 E. 60 13 O E A B

A:

Q: Use the trigonometric ratio cos e-0.6798 to determine which of the following is the correct value of…

A: We have to find trigonometry ratio

Q: 4. An angle of measure 150° intersects the unit circle at point (-,). What is the exact value of…

A:

Q: Given 0≤θ<2π, solve cos⁡θ=cot⁡θ. 0, 3π/4 ,5π/4 0, π π/2 , 3π/2 π/4 , 7π/4

A: To solve: cosθ=cotθ    ,0≤θ&lt;2π Solution: cosθ=cotθ On simplifying further we get:…

Q: 22. If cose (a) osẻ = — and ✔ is in quadrant IV, then cos (b) (c) ²/ 213 L23 √ (d) (e) ± 27/1

A: This question is related to trigonometric ratios and identities,  we will solve it using given…

Q: If sin A = - 13 and cos A = 85 84 , determine the exact value of cot A. 85 13 84 84 13 А. cot A В.…

A:

Q: 9. Use a graphing or scientific calculator and the law of cosines, c = a? + – 2að cos C,a = 6 +e –…

A: the law of cosines, c2=a2+b2-2abcosC,a2=b2+c2-2bccosA, and b2=a2+c2-2accosB

Q: Given cos A= -15/17 and cos B= -40/41 Find: Sin (A+B) , Cos (A+B) and Sin (A-B)

A: According to trigonometric formulas sin(A+B)=sin A cos B+cos A sin B , cos (A+B)=cos A cos B-sin A…

Q: You are given that cos(A)=−20/29, with A in Quadrant III, and cos(B)=3/5, with B in Quadrant I. Find…

A: We have to  Find cos(A+B) by using trigonometric relation.

Q: Given sin A = 12/37, find cos A and tan A

A:

Q: (5) Suppose that 2 is an angle in quadrant 2 and that cos B Compute the exact value of cos 25 Cos ||

A: To determine the value of cos (β/2).

Q: Question 1 DARD Find the sin of angle T. ES ADAR 24 O 7/24 O 7/25 O24/25 O25/7 Question 2 Find the…

A:

Q: If the terminal side of a contains the point (-3,4) and the terminal side of B contains the point…

A:

Q: If (cos* a/cos? B) + (sin“ a/ sin B) = 1, then prove that (cos* B/ cos? a) + (sin? B/ sin? a) = 1 2

A: Given: cos4αcos2β+sin4αsin2β=1 To prove that  cos4βcos2α+sin2βsin2α=1

Q: If cos A/3=√3/2,find the value of cosA

A: The cosine value of any function is equal to the ratio of the base of the triangle to the hypotenuse…

Q: Given that cosA=−12/13 and sin B=8/17, with A and B in quadrant II,  Find cos(A+B)

A:

Q: Given: cos 0 e is in QI. What is the value of cos 260? 4 6. o 1 3 O 4 6. 6.

A: We have to find value of cos(2theta).

Q: Use the given information to find the exact value of the expression. 21 a lies in quadrant II, and…

A:

Q: 161 Suppose that is an angle in quadrant 2 and that cos a = 2 . Compute the exact value of cos 289…

A:

Q: В 3 C 4 A Find cos(B) in the triangle.

A: Since cos(x) is in the ratio of base and hypotenuse

Q: You are given that cos(A) = -, with A in Quadrant II, and sin(B) = , with B in Quadrant II. Find…

A: First use identity to find value of cosB and sinAsinA Use formula for value

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.