Evaluate sin (x) cos(r)dx using an appropriate substitution.

Q: Determine f sin x sin(cos x) dx

A: We have to solve the problem

Q: Write sin(3x) cos(7x) as a sum of trigonometric functions.

A: Given trigonometric function is  sin3x cos7x. Write the sin3x cos7x as a sum of trigonometric…

Q: sin (x²)dxdy y

A: We will solve this question by change of order of integration.

Q: If x=2 tan θ ,express sin(2θ)as a function of x.

A:

Q: Find cos ⁡(2θ) if sin (θ) = 2/13.

A:

Q: x cos r+ sin r -dr. Find x sin r 5.

A: The given integral,     ∫x cosx+sinxx sinxdx

Q: (sin x+ cos x). Find xp

A:

Q: Find sin(2θ) if tan(θ) = 2/3

A: Consider the given trigonometric equation: