Apply the sum and difference identities to find the exact value of the given expression in terms of x. sin x- 4

Q: Use the power-reducing formulas to rewrite the expression as an equivalent expression that does not…

A: We need to simplify the expression 16 sin2x cos2x. Now,                  16 sin2x cos2x=42 sin x cos…

Q: Find the exact value of each expression, if it is defined. A. sin-l1 B. cos-1(-1) C. sin-1 2 D.…

A: To find the value of inverse trigonometric functions.

Q: 6 -1/3 sin(3x-?)

A: Given, 6 -1/3 sin(3x-π) To Evaluate above expression when x= π/6

Q: Verify the identity. sin x + cos³ x =1 - sin x cos x sin x + cos x Factor the numerator, and use a…

A: According to the given information it is required to verify the identity:…

Q: Find the exact value of the following expression. 13x sin 12 13x sin 12 (Simplify your answer,…

A: The expression to be evaluated is : sin (13π/12)  We will make use of the following trigonometric…

Q: Use the sum-to-product identities to rewrite the expression. sin 5a + sin 2a Choose the correct…

A: Explanation of the answer is as follows

Q: Find the exact value of the expression. 8) sin 75°

A: Given expression Also, it can be written as

Q: Rewrite sin (z + ) in terms of sin z and cos z. 6.

A: Given : sinx + 7π6

Q: Use the appropriate sum or difference identity to write the given expression as a function of x…

A:

Q: Write the given expression as an algebraic expression in x. sin(2 tan-'(x))

A: Trigonometric

Q: Verify the identity. sin Ix- - 4 (sin x- cos x) 2 Write the left side in terms of a sum or…

A:

Q: Write the following expression as an algebraic expression in x for x>0. 5 sin( tan-1 x)

A:

Q: Use the appropriate sum or difference identity to write the given expression as a function of x…

A: We can solve as follows

Q: Use the power-reducing formulas to rewrite the expression as an equivalent expression that does not…

A:

Q: Use the fundamental identities to fully simplify the expression. sin(x) cos(x) csc(x)

A:

Q: 11m Use the Sum and Difference Formulas to find the exact value (NOT a decimal) of sin: 12

A:

Q: sin (-20) sin 460

A:

Q: Verify the identity. sin (a + B) = tan a + tan ß cos a cos B Rewrite the numerator on the left side…

A:

Q: Verify the identity. sin x- 4 (sin x+ cos x) 2 Write the left side in terms of a sum or difference…

A:

Q: Perform the addition or subtraction and use the fundamental identities to simplify. There is more…

A: Here we solve this by taking first the lcm

Q: Use the addition formula to derive the identities. (a) cos(x – ;) = sin x (b) sin(x – 5) COS x kIN…

A: Addition formula are as follows: sin(A + B) = sin A cos B + cos A sin B sin(A − B) = sin A cos B −…

Q: Evaluate the following expressions. sin (tan-(1)) cos (tan-(0))

A: We need to evaluate the given expressions sintan-11costan-10

Q: Evaluate sin(9æ)cos(3x)dæ.

A:

Q: Rewrite sin ( x + ) in terms of sin z and cos r. Enclose arguments of functions in parentheses. For…

A:

Q: Find the exact value of the expression whenever it is defined. (If an answer is undefined, enter…

A:

Q: Use the power reducing formulas to rewrite sin 5x cos 5x in terms of the first power of cosine.…

A:

Q: Use a sum-to-product identity to rewrite the expression. sin 3a + sin 6a ... sin 3a + sin 6a = (Use…

A: To Find : expression using sum product identity of the following expressions1) sin3α + sin6α2)…

Q: find the sin 2x,cos 2x, and tan 2x of the following cos x = 4/5, csc x < 0

A:

Q: Perform the addition or subtraction and use the fundamental identities to simplify. There is more…

A:

Q: Verify the identity by following the steps below. sin(x)cot(z) cos(x) 1) Write the left-hand side in…

A:

Q: Use a sum-to-product identity to rewrite the expression. sin 3a+ sin 6a sin 3a + sin 6a = (Use…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use the sum-to-product identity to find an expression that is equivalent to sin(30B) + sin(8B).…

A:

Q: Use the sum or difference identities to simplify the expression to a single trig function or a…

A: We simplify it using trigonometric identities

Q: Let sin A = − 4/5 with A in QIII and find the following. sin 2A=

A: Given, sin A=-45,A in QIII To find sin2A.

Q: Prove the identity. sin (x+y)+ sin (x-y) =2 sinx cosy Note that each Statement must be based on a…

A: Consider the identity  sinx+y+sinx−y=2sinxcosy

Q: sin A =-12/13 with A in QIII and find the following. sin 2A

A:

Q: If sin A = V10/10 with A in QI and tan B = with B in QI, find tan(A + B) and cot(A + B). tan(A + B)…

A: We know cos(a+b) = cosa cosb - sina sinb cos2x = cos(x+x) = cosx cosx - sinx sinx It can also be…

Q: Use the product to sum formulas to select the product as a sum or difference. sin(π/4)cos(π/8)

A:

Q: Verify the identity by following the steps below. sin(x)cot(x) cos(x) 1) Write the left-hand side in…

A:

Q: 1. Verify the identity sin? x- sin* x cos?(-x)- cos*(-x) by rewriting the left side of the equation.…

A: sin2x-sin4x=cos2(-x)-cos4(-x)

Q: Find the exact value of the expression whenever it is defined. (If an answer is undefined, enter…

A: Please see the answer below.

Q: Verify the identity. sin x+ %3D (sin x+ cos x) 2 Write the left side in terms of a sum or difference…

A:

Q: a) Find the values of sin' -1 1 2

A: GivenSin-112

Q: Use an appropriate identity to find the exact value of the expression. sin (165°) -N2Wa+1) 4

A: Consider the given expression: sin (165°)

Q: Prove the identity. sin(x - 7T) = -sin(x) Use the Subtraction Formula for Sine, and then simplify.…

A:

Q: Use the power-reducing formulas to rewrite the expression as an equivalent expression that does not…

A: Given, 104 sin2x cos2x

Q: Derive the identity for tan(α + β) using tan(α +β) = sin(α + β)/cos(α + β). After applying the…

A: Our Aim is to derive the identity tan (α+β) using tan (α+β)=sin (α+β)cos (α+β)-(i)

Q: Write the given expression as an algebraic expression in x. tan(2 sin−1(x))

A: Given the expression tan(2 sin-1(x)), and we have to write this expression is algebraic form.

Q: Use the power-reducing formulas to rewrite the expression sin2 x cos2 x as an equivalent expression…

A: Given expression sin2xcos2x  To rewrite the expression  sin2xcos2x as an equivalent expression that…