Write the product cos(5t) sin (8t) as a sum or difference.

Q: Use the appropriate formula to express the product cos 9x cos 2x as a sum or difference.

A: We will use the formula  With A=9x and B=2x

Q: Find sin(cos^-1 1/5)

A: Here we have to find, sincos-115 ................ (1) Let,  cos-115=t⇒cost=15

Q: Evaluate and simplify. cos (9 sec x) dx

A:

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

A:

Q: Use the product-to-sum formulas to rewrite the product as a sum or difference. 3 cos(-9ß) sin 4B

A: We need to write the following expression as a sum or difference 3cos-9βsin4β

Q: Rewrite the expression as a sum or a difference: 10 cos(7x) sin(3x)

A: use trignometric identities:-

Q: Write the product as a Sum or difference: 16 sin(26y)cos(19y) %3D

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Q: Find the exact value of the expression. cor( an () sin

A:

Q: Sin 2A

A:

Q: Write 2 cos(4x) sin(4x) as a single trig function, simplifying as much as possible.

A:

Q: Find cos a da 15.

A: We are asked to evaluate the integral.

Q: Multiply. (cos(θ) + sin(θ))2

A:

Q: Explain how to derive a formula for sin(A-B+C)

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Q: Simplify. (a) (b) cos sin 8

A: we have to simplify: (a) 1a1b=1a×b=bathis is the required answer.

Q: Rewrite sin(a−7π/4)in terms of sin(a) and cos(a).

A: Given the query is to rewrite the ue expression.

Q: Use the addition formulas to derive the identity. 25) COS sin x 25) %3D

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Q: Write 10 cos 5x sin 3x as a sum or difference.

A:

Q: Use the appropriate formula to express the product sin x cos 2x as a sum or difference.

A: Given Data The product of trignometry formula is sin x cos 2x.   The general formula for the product…

Q: Simplify the expression.   Cos(2 tan-1x)

A: Given: cos2tan-1x for simplifying given expression we assume tan-1x=θtanθ=x now putting value of…

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

A: It is formula of sinA + sinB.

Q: Simplify the expression as much as possible. cos(2t)/cos(t)+sin(t)

A: To simplify the below trigonometric expression.

Q: M. Write sin 7x + sin 3x as a product.

A: Solve as a product form

Q: Which of the following correctly expresses sin (3ß) – sin ß as a product?

A:

Q: Complete the product to sum formula. cos x sin y =

A: Given expression  cos x sin y

Q: Use a product-to-sum formula to rewrite cos 3z sin 2z as a sum or difference.

A:

Q: Write csc θ tan θ in terms of sin θ and cos θ

A: cosec θ  tan θ interms of sinθ:                                   cosec θ = 1sin…

Q: Sinlsir 5,

A: To evaluate the given trigonometric expression.

Q: Express the given product as a sum or difference sin (6x) cos (3x)

A:

Q: Write sin a +sin b as a product using only sine and cosine.

A: Given, sina+sinb

Q: Write 2 cos(3t) + sin(3t) as Rcos(ωt−φ).

A:

Q: Simplify the expression. cos(2 tan-1(x))

A: For the solution follow the next step.

Q: Use the appropriate formula to express the product cos 5x/2 sin x/2 as a sum or difference.

A: Formula used:

Q: Simplify: cos(2x)−1/sin2x

A: We have to simplify

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 both the sum and the difference formulas for sine.

A:

Q: Write the product as a sum or difference: 14 sin(406)cos(166) =

A: Here we use basic product to sum formulas of trigonometry. We want to write the given product as sum…

Q: Evaluate I cos 2r dr.

A: Let, Use integration by parts formula, Here,

Q: Complete the identity. sin(@)=

A: Trigonometry identity

Q: Write cos 2A in terms of sin A only.

A: Given expression: cos2A We know that the property cosx+y=cosxcosy-sinxsiny......(1) We can write the…

Q: Write the product as a sum or difference: 18 cos(22c) sin(9c) =

A:

Q: Write the product as a sum. 15 sin() cos()

A: Use trigonometric formula

Q: Rewrite 10 sin(5x) cos(3x) as a sum or difference, then simplify.

A: Here we have to rewrite 10sin(5x)cos(3x) as a sum or difference.

Q: How do we arrive at a formula for the product sin A cos B?

A: We have to derive an expression for sinAcosB.  We start off with the sum of angles formulae sinA+B=…

Q: Write the product as a sum: 4 sin(33t)cos(18t)

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Q: Write the product as a sum. cos(x) sin(3x)

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Q: Use the figure to find the exact value of sin(2x)

A: Using the figure we have to find the sin(2x)=?

Q: Write the following in terms of sine, using the cofunction relationship. 107 cos 19

A: Cofunction identity related to sine and cosine are: cos π2-A=sin Asin π2-A=cos A

Q: Write the following in terms of sine, using the cofunction relationship. cos(10π/17)

A:

Q: Simplify: a. cos (2 cos- b. sin (cos 1)

A: Trigonometric expressions can be solved using the corresponding trigonometric identities. There are…