Find all 4 solutions with theta in degrees. cos theta = 0, tan theta = -1, sin theta = 1/2, cos theta = 1/2?

Question

Hey everyone just wondering if you could show me the working out for a couple of these problems!

Answer 1

cos θ = 0
θ = 90° , θ = 270°

tan θ = 1
θ = 45° , θ = 225°

sin θ = 1/2
θ = 30° , θ = 150°

cos θ = 1/2
θ = 60° , θ = 300°

Answer 2

There are infinitely many solutions to each of these questions. What are the restrictions on Theta? Zero to 360 degrees? -360 to 360 degrees?

For example,
cos(theta) = 0 when theta = 90 + 180n degrees where n is any integer