Express the sum sin 8x + sin 2x as a product. If possible, find this product’s exact value.

Q: Express the product as a sum or difference. 1. sin 4x sin 8x 2. sin 7x cos 5x

A: For the expression sin 4x sin 8x, multiply and divide the expression by two.

Q: Express the given sum or difference as a product of sines and/or cosines. sin 8x - sin 4x

A: Here , the question is to express the sum or difference interms of product of sine or cosine Given…

Q: Express the given product as a sum or difference containing only sines or cosines. sin (6x) cos…

A:

Q: Express the given sum or difference as a product of sines and/or cosines. sin 7x- sin x sin 7x - sin…

A: Solve by properties

Q: Express each product as a sum containing only sines or only cosines. sin(θ) sin(2θ).

A: Given expression: sin(θ) sin(2θ)

Q: Express the given product as a sum or difference containing only sines or cosines. sin (9x) cos COS…

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Q: By expressing the sum as a product, sin (86) – sin (2B) = ?

A:

Q: Express the sum sin 75° + sin 15° as a product. If possible, find this product’s exact value.

A: We will use the formula: With A=75 and B=15

Q: Express the sum sin 7x + sin 3x as a product.

A: Rewrite the given trigonometric expression as sum and difference of 5x and 2x.

Q: Use the Sum Identify to evaluate EXACTLY. Sin π/12 = I need all work.

A: Write pi/12 as pi/3 - pi/4.Since we have to use sum identity so let a=pi/3 and b= -pi/4

Q: Write the product as a sum: 20 sin(35q)sin(12q)

A: use this formula to solve:

Q: Rewrite the product as a sum or difference. sin(-x) sin(3x)

A: Topic = Trigonometry

Q: Write the sum as a product. sin x - sin 2x

A: Explanation of the solution is given below....

Q: Express the sum sin 6x + sin 2x as a product. If possible, find this product’s exact value.

A: Given,           sin 6x + sin 2xWe know that,         sin x + sin y = 2 sin x + y2 cos x - y2

Q: Use the sum-to-product formulas to write the sum or difference as a product. 7 sin 30 + 7 sin 0

A: Given : 7sin3θ + 7sinθ

Q: Express the sum or difference as a product sin 2x - sin 4x, If possible, find this product’s exact…

A: Given expression: sin2x-sin4x   Using Sum-Product identity: sin(x)-sin(y)=2cosx+y2sinx-y2

Q: Prove the identity. sin x + sin 3x cos x + cos 3x tan 2x Use the Sum-to-Product Formulas and then…

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Q: Express each product as a sum containing only sines or only cosines. sin(3θ) sin(5θ).

A:

Q: Write the product as a sum. sin x sin 6x

A:

Q: Express the difference sin 11x - sin 5x as a product. If possible, find this product’s exact value.

A: Given,          sin11x-sin5xWe know that,             sina-sinb=2cosa+b2sina-b2

Q: Write the sum as a product. sin 5x + sin 6x

A:

Q: Write the sum as a product. sin 9x + sin 7x

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Q: Express the given product as a sum or difference containing only sines or cosines. sin (9x) cos (4x)…

A:

Q: Express as a sum or difference. (Use the Product-to-Sum formulas.) sin 5t sin 3t

A:

Q: Write the sum as a product: sin(23.2æ) – sin(10.6x) =

A:

Q: Which of the products below is equivalent to sin (6x) – sin (4x)?

A: We use the basic trigonometric formulas to find the equivalent relation to the given expression.

Q: Express the sum cos 3x/2 + cos x/2 as a product. If possible, find this product’s exact value.

A: Express the sum cos 3x/2 + cos x/2 as a product. If possible, find this product’s exact value.

Q: Write the sum as a produc sin(5.2r) – sin(3.6r)

A: Givensin(5.2 r)-sin(3.6r)

Q: Express the product as a sum or difference. 1. cos 3x cos 2x 2. sin 5x sin 8x

A:

Q: Express the sum sin 2x - sin 4x or difference as a product.If possible, find this product’s exact…

A: Let, the given expression be y - y = sin2x-sin4xUsing trigonometric identity - sinC-sinD =…

Q: Express the given sum as a product of sines and/or cosines. sin 7x + sin 12x sin 7x + sin 12x =

A: As per the answering guidelines, in the case of multiple questions, only one question is to be…

Q: Write the sum as a product: sin(18.6q) + sin(8.2q)

A:

Q: Find all values of such that sin2x=sinx and 0<=x<=2pie

A: Given equation is Now, we use the identity sin2x=2sinxcosx,

Q: Express the given product as a sum or difference containing only sines or cosines. sin (8x) cos (3x)

A:

Q: Express the sum cos 3x + cos 2x as a product.

A: the given sum is: cos 3x+cos 2x we have to express the given sum as a product.

Q: Express the given product as a sum or difference containing only sines or cosines. sin (9x) sin (5x)…

A: Given, sin(9x)sin(5x) Multiplying and dividing by 2 2sin(9x)sin(5x)2 Now we have the formula…

Q: Use the sum-to-product formula to simplify the expression: If sin 50° + sin 10° = sin A°,0 < A < 90,…

A:

Q: Use the power reducing formulas to rewrite sin*(2x) without exponents. sin (2x)

A: Given sin⁴(2x)

Q: Express the difference cos 9x - cos 7x as a product. If possible, find this product’s exact value.

A: To express the difference cos9x-cos7x as a product.

Q: Write the sum as a product: sin(8.2q) + sin(6.6q)

A:

Q: Use the sum and difference identities to simplify the expression. sin(-75)

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Q: Find cos using a sum/difference formula. Express answer in simplest radical form.

A: We have to find the value of cos-π12 by using the sum/difference formula.

Q: Use a sum-to-product formula to rewrite sin4z+ sin 3z as a product. sin4z + sin3z = %3D OsinD

A:

Q: use the sum identity to evaluate exactly. Sin(π/12)

A: Given:

Q: Express the sum sin x + sin 2x as a product. If possible, find this product’s exact value.

A: We have to express the expression as a product: sin x+sin 2x We know the formula of sum of sine…

Q: Express the sum sin 3x/2 + sin x/2 as a product. If possible, find this product’s exact value.

A: To express the sum sin 3x2 + sin x2 as a product.       Formula :  sin α + sin β = 2 sinα + β2 cos…