Use the cofunction identities to evaluate the expression without the aid of a calculator. sin? 39° + sin? 51°

Q: sin(?) cos(3?) + cos(?) sin(3?) = 0

A: we have to simply   sin(?) cos(3?)   +  cos(?)  sin(3?) = 0

Q: Perform the indicated operation and simplify the result. cot x( sec x- tan x) The answer is

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Q: Use the given conditions to find the exact values of  sin(2u), cos(2u), and tan(2u) using the…

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Q: Simplify each trigonometric expression by following the indicated direction.

A: Given

Q: uate each expression, express your answers in radian. 1. cos-1 2. sin-(-1)

A: topic - Inverse trigonometric functions

Q: Simplify the expression by using a double-angle formula. 2 tan 4 2 1- tan 4 |sin| ]cos[ |tan |cot|…

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Q: Write the following in terms of sin ? and cos ?; then simplify if possible. (Leave your answer in…

A: Consider the given trigonometric function. csc θ cot θ The objective of this part is to write the…

Q: Use the appropriate compound angle formula to determine the exact value of each expression. cos (T-)…

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Q: Simplify the expression by using a double-angle formula. cos 30 – sin 30

A: Here we have to use the double angle formula to solve the given problem. cos(2θ) = cos2(θ)  - sin2…

Q: Find the exact value of the following expression. - 1 cos (-1/2) In which quadrant is this angle?

A: We know that,

Q: sec 0 Csc e

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Q: Write cos ⁡ ( θ ) in terms of sin ⁡ ( θ ) if θ is an angle in quadrant II.

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Q: Verify the identity by working the right side: sin? (플) csc2 -cot? z 2 csc2 x+2 csc x cot x

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Q: Perform the indicated operation and simplify the result. tan x( cot x- cscx) The answer is .

A: Given:            tan xcot x-csc x Apply; cot x=cos xsin x and csc x=1sin x           =tan xcos xsin…

Q: Use words to describe the formula for, "the sine of double an angle."

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Q: Complete the half-angle identity. sin 스 =

A: To express sin(x/2) in terms of trigonometric ratios of x.

Q: Use the fundamental identities to simplify the expression. 1- sin? e cos? 0 cot? e - cos? 0 Cos e

A: Given:   To determine: simplified expression

Q: Write the following in terms of sin ? and cos ?; then simplify if possible. (Leave your answer in…

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Q: Write the following in terms of sin ? and cos ?; then simplify if possible. I need to leave my…

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Q: Write the expression as the sine, cosine, or tangent of an angle. 3 COS sin)sin() COS - 7

A: Note that: cos x cos y-sin x sin y=cos (x+y)

Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify. Assume…

A: For first part, Range of sine function is [-1,1] For second part, substitute x=5costheta and…

Q: Write the expression as the sine, cosine, or tangent of an angle. cos 140° cos 20° – sin 140° sin…

A: Given expression is cos140°cos20°-sin40°sin20° we have to write the expression as the sine , cosine…

Q: Use the formula for the cosine of the difference of two angles to find the exact value of the…

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Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. 8 cos(t) tan(t)

A: To simplify the given trigonometric expression use the following equation. To find the terminal…

Q: Write the following values. a. sin b. cos 2 图 c. tan =

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Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: Given identity as 1+cos23θsin23θ=2csc23θ-1 Consider LHS : 1+cos23θsin23θ

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. cos?(e) (1 +…

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Q: Use your graphing calculator to determine if the equation appears to be an identity or not by…

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Q: Write the expression as the sine, cosine, or tangent of an angle. sin(x) cos(8x) + cos(x) sin(8x)

A: Sin (A+B) = Sin A x Cos B + Cos A x Sin B

Q: Simplify and write the trigonometric expression in terms of sine and cosine: tan? a – sec? x 2 %|

A: We use  tan(A) = sin(A)/cos(A)  sec(A) = 1/cos(A)

Q: Evaluate the expression under the given conditions. sin(2?); sin(?) = 1/9, ? in Quadrant II

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Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Write the expression as the sine, cosine, or tangent of an angle. 47T cos 47T sin CoS sin

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Q: Apply the compound angle formulas to solve the following: a) tan 75⁰ (in degrees) b) Cos +

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Q: Write the expression as the sine, cosine, or tangent of an angle. sin 70° cos 10° + cos 70° sin 10°

A: Given expression is sin70° cos10°+cos70° sin10°. To write the expression as the sine, cosine or…

Q: Write the expression as the sine, cosine, or tangent of an angle cos 140° cos 50° – sin 140° sin 50°

A: Formula:

Q: Simplify the expression. ) = ,2 cot?(x) – cos²(x)cot?(x)

A: There are six trigonometric functions which are sine, cosine, secant, cosecant, tangent and…

Q: Perform the indicated operation and write the result in standard form. (2(cos 45° + i sin 45°))

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Q: Use the given triangle to evaluate the expression. If necessary, express the value without a square…

A: Given:               cosπ4-sinπ4        we know that π4=45°                 =cos45°-sin45°…

Q: Simplify the first trigonometric expression by writing the simplified form in terms of the second…

A: We have to show that the following results

Q: Use a double-angle identity to simplify the following expression. Зл 1 – 2 sin?

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Q: sec* 0 – 2 sec? 0+1 6) 4 csc? 0 – 1

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Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. (a) cos? 38° - sin?…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Use a double-angle formula to rewrite the expression. 6 cos? x - 3

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Q: Write the expression as the sine, cosine, or tangent of an angle. sin cos 7 cos 5 sin 5

A: Consider the given expression as, E=cos4π7cos7π5-sin4π7sin7π5 Consider the required formulae,…

Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. 1- cos(30°) 2 (a) 1…

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Q: Use the Pythagorean properties to write expressions equivalent to: a. sin?x b. cot?x

A: Using trigonometri identities equaivalent expressions A)- Sin2X b)- cot2x

Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify x = 2…

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