okay I have like 50 problems to do and I have a few I need help with particularly. If someone can help, I would appreciate it so much.

Problem 1:

Prove the identity.

tan(t+(pi/2))=-cot(t).

Problem 2:

Rewrite sin(5t)-sin(3t).

Problem 3:

Solve 3 cos(theta)+3=2 sin^2(theta) where 0<=theta<2pi

Problem 4:

Solve cos(theta)+sin(theta)=1 where 0<=theta<2pi