Express the product sin 8x sin 3x as a sum or difference.

Q: Use the product-to-sum formulas to rewrite the product as a sum or difference.  sin 5θ sin 3θ

A: Given: Use the product-to-sum formulas to rewrite the product as a sum or difference.  sin 5θ sin 3θ

Q: Complete the identity. sin'x (cscx+ se2x) = sec2x X. CS sec-x

A: To show: sin2x(csc2x+sec2x)=sec2x Solution: Considering LHS sin2x(csc2x+sec2x) On simplifying…

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

A:

Q: Express the product sin 6x sin 4x as a sum or difference.

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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 as a sum or difference:6 cos 5x sin 3x

A: Known fact: sinA+B-sinA-B=2cosA sinB

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

A:

Q: Express the sum sin 9x + sin 5x as a product.

A: sin 9x + sin 5x We need to express the given sum as a product.

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 appropriate formula to express the product sin 6x sin 2x as a sum or difference.

A:

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

A: use this formula to solve:

Q: sinx = 1/3 , then find the value of 2cot2 x +2

A:

Q: Find Lte " sin 41]. -2r

A:

Q: Express as a product.sin cos θ + sin 2 θ

A: To express sinθ cosθ+sin2θ. Solution: We know that, sin2θ=2sinθ cosθ Therefore, given expression can…

Q: Express as a sum or difference.sin 7t sin 3t

A: The product to sum formula:                sin α sin β  = 12 cos(α-β) - cos(α+β)

Q: Write the product as a sum or difference with positive arguments

A: To calculate the sum or difference with positive argument for the provided trigonometric expression…

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: Express the product cos 7x cos x as a sum or difference.

A: The given expression is cos7xcosx

Q: Express as a product.sin 3t - sin 7t

A: Given : sin 3t - sin 7t

Q: Rewrite the product sin 6x sin 4x as a sum or difference.

A: sin A sin B=12cos(A+B)-cos(A-B)

Q: Write the product as a sum: 12 sin(50g)sin(16q) =

A: Given product is, 12sin(50q)sin(16q)

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: Rewrite the product sin 8x sin 2x as a sum or difference.

A:

Q: Rewrite sin (2 cos'v) as an algebraic expression in v. sin(2 cos"v) = ]

A: We have to rewrite the given identity as algebraic expression.

Q: Express as a sum or difference:sin 7t sin 4t

A: sin 7t sin 4t

Q: Use the appropriate formula to express the product sin 8x sin 4x as a sum or difference.

A:

Q: If x = 3 sin(0) write sin(20) in terms of x. 2 4

A:

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

A:

Q: Rewrite the product sin 5x sin 2x as a sum

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: Write the expression as an algebraic expression in x for x >0: sin (2 sinx)

A:

Q: If x = 4 tan θ, express sin θ in terms of x.

A: Given that: x=4tanθ To solve the given trigonometric function,…

Q: Find sin 20

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: Rewrite the product  sin 5x sin 2x  as a sum or difference

A:

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

A:

Q: Express the given sum or difference as a product of sines and/or cosines. sin 5x + sin 9x

A: We have to find

Q: Write sin(2x) cos(7x) as a sum of trigonometric functions. sin (9x) + cos(2x) sin(7x) X

A:

Q: Show that sin 2x Þ 2 sin x by substituting 30 degree for x and then simplifying both sides.

A: To prove: sin2x≠2sinx For x=30°

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: Express the product sin 4x cos x as a sum or difference.

A: Given: sin4xcosx

Q: 2 sin (20)-1sin (0) = 0

A:

Q: Express the product sin 5x sin 2x as a sum or difference.

A:

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

A: Given sin⁴(2x)

Q: Express as a product.sin 8t + sin 2t

A: We have to express the given trigonometric expression in product form: sin 8t+sin 2t We know the sum…

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…