Proving Identities

Question

1) tanθ(tanθ+cotθ)=sec^2θ

2) 1+cos^2x / sin^2x = 2csc^2x-1

What are the different steps to solving these problems and how would we transform the expressions?

Answer 1

The different steps are different for each verification.

Suggest converting the left side of each equatio to all sine finctions.