Computing inverse fourier transform

Question

Assignment:

Question 1. What is the Fourier Transform for the convolution of sin(2t)*cos(2t) .

Question 2. Compute the inverse Fourier transform for X(ω) = sin²3w.

Question 3. A continuous time signal x(t) has the Fourier transform X(ω)  = 1/jw+b  where b is a constant. Determine the Fourier transform for  v(t) = x*(5t-4)

Provide complete and step by step solution for the question and show calculations and use formulas.