a) Explain why cos a = sin(90° – a). b) Use your calculator to show that cos 29° and sin 61° are equivalent.

Q: Use a sum or difference formula to find the exact value of the trigonometric function. Cos 165°

A:

Q: Find the remaining trigonometric ratios of theta based on the given information. sec = -3 and sin is…

A: The given trigonometric ratio is secθ=-3 and sinθ is positive. secθ=3-1=rx By using the Pythagoras…

Q: use the half angle formula to find the exact value, not a decimal approximation. of cos(pi/8)

A: Half angle formula of cos, cos2A=2cos2A-1 2cos2A=cos2A+1cosA=cos2A+12

Q: Use an appropriate Half-Angle Formula to find the exact value of the expression. cos 8

A: Explained below

Q: what is the exact value of sin (165*) using the half angle identities

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Q: A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

A:

Q: Use the given information to find the exact value of the expression. cos θ = 15/17, θ lies in…

A: Answer(a)

Q: Suppose cos 2 A , and 2A is an angle in the Second Quadrant. Then cos A Give the EXACT value.

A:

Q: What is an equivalent expression of Sin 21 in terms of the reference an (related acute angle)? a)…

A: To write equivalent expression for sin5π6

Q: What is an equivalent expression in terms of sine for cos(68)?

A:

Q: Find the value of the angle of tan(cos-(x))

A: tan(cos-1(x)) Let cos-1(x) =  θ         .....................(1)    =>     x = cos θ    =>…

Q: Determine the exact value of the trigonometric expression  sin30 * cos30 + sin60 * cos60

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Q: What is the value of sin(135°)?

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Q: When figuring out this question, what would be the radians value, with 4pi/3?

A: The table of signs of different ratios in the quadrants is as shown below. II    only sin +ve I…

Q: If 5 sin A = 3, then without using calculator, Find the value of Sin 2A , Cos 2A. %3D

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Q: Evaluate the expression without using a calculator. (cos 30°)2 − (sin 30°)2

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Q: Now, please follow the example and complete: sin () = a) 157 b) cos 137 c) tan 3

A: According to our guidelines we can answer only three subparts.Part a,            sin11π6

Q: 4. Determine the sign (+ or -) a. cos 143 degree, b. tan 192 degree. c. tna (4 pi/5)

A: Explanation is given below..

Q: 2. Demonstrate that the double angle formula for sin2x is derived from the compound angle formula…

A: Double angle formula for sin2x is sin2x=2sinxcosx. and compound angle formula for sin(a+b) is…

Q: 2. In this triangle, what is equivalent to cos A? cos B sin(90-B) O sin A sin(90-A)

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Q: Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.…

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Q: Find the measure of cos-1 (-0.5) in degrees and radians.

A: cos-1-0.5

Q: What is the reference angle associated with cos 240o ?

A: Answer is- -1/2 Explanation is given below....

Q: Find cos (2 θ) , if sin θ=15/17 and θ lies in quadrant I

A: sin² (x) + cos² (x) = 1 cos(2x) = cos² (x) - (1 - cos²(x)) = 2cos²(x) - 1

Q: Use a reference angle to find the exact value of cos 210 degree        -1/2

A: Let the given cosing angle be y - y = cos210Angle 210° lies in the third quadrant.So, we can take…

Q: The angle between 0 and 2Pi(360) in radians that is terminal with the angle 20/7Pi in radians is…

A: To find the angle between 0 to 2π in radians which is terminal with the angle 20π7 in radians. To…

Q: The difference formula for the sine function is sin(A-B)=....................

A: Given: sinA-B=......... To Find: The difference formula for the given function

Q: Given cos⁡(θ)=3/5 and tan⁡(θ)<0 what is the value of sin⁡(θ)?

A: Explanation of the answer is as follows

Q: 11. The expression sin+ (cot)(cos) is equivalent to A. 1 B. csc C. sece D. cot20

A: Here, the given expression is: sin θ+(cot θ)(cos θ)

Q: Simplify without a calculator: 2 sin(15°)cos(15°) I| ||

A: answer = ?

Q: Please find the exact value of cos 165 degrees

A: Find the value of cos(165°).

Q: If theta = arctan(1) and 180deg < theta < 360deg, what is cos theta?

A:

Q: What angle between 0 and 2pi radians has its cosine equal to 1/2?

A:

Q: What is cos10∘cos8∘−sin10∘sin8∘ equal to?

A: To solve the problem we must know about sum and difference formula of sinθ  and cosθ.  We have to…

Q: a - b? If cos 0= , express sin 0, cot 0, sec 0 and cosec 0, in terms of a and b.

A: Solution is done in step 2

Q: 1. Find the exact value of sin 225° as a sine of the difference of two angles.

A: Note: According to the guidelines only one question will be answered please upload other questions…

Q: 11) sin-! 2

A:

Q: Use the formula for cos (A + B) to find the exact value of cos 75 degree

A: Given The expression is cos 75°.     Formula :- cosA+B=cos A cos B- sin A sin B

Q: What is cos 2A, if cos 2A = 5/8, and 2A is an angle in the fourth quadrant?

A:

Q: Use a half-angle formula to find cos 75 degree.

A: We have to find exact value of cos 75° by using half angle formula. We know half angle formula for…

Q: If cos A = - 15/17 and sin A < 0, what is the value of tan A?

A: Given Cos A=-1517 Since, in right angled triangle by Pythagorean theorem we have: a2+b2=c2 where,…

Q: What is the first step in finding the exact value of cos 495 degree ?

A: We have to determine the value of term cos495°. Since, angle θ=495° is more than 360°, therefore the…

Q: 2-Simplify first, then determine the exact value. (sin7n/24 + cos7a/24)2

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Q: What is sin(17) equal to the cos of?

A:

Q: Find a cofunction with same value as tan 72°. The cofunction is ?

A: Write the cofunction of tanx and than solve for angle.

Q: What is the value of cot theta if (- 4, 0) is on the terminal side of theta and theta is in standard…

A: Consider the value points (-4, 0) so, x=-4,  y=0r=x2+y2=-42+02=16r=4

Q: Use the Half-Angle Formula to determine cos(105°)

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Q: Find the exact value of cos 240' using the compound angle formula. 1 ,and A is in the fourth…

A: Solution : a) We have to find out the exact value of cos240° using the compound angle formula. b)…

Q: What is the exact value of sin⁡(31π/6)?

A: Given- The expression as sin31π6 To find- Exact value of the given expression.