If the terminal side of a 330 degree angle intersects a

Question

You are requires to provide detailed working/ Solution and explanations for the following problems:

1. If the terminal side of a 330 degree angle intersects a unit circle, what would the coordinates at the point of intersection?

2. Solve for x:  3 + cos 2x = 7/2; only include answers on [0, 2π]

3. Verify the following identity by using an angle sum identity: cos (2x) = 1 - 2(sin² x). Hint (2x = x + x)