I need help on these questions please.

1. given that sin^2 x + cos^2 x = 1 show that 1+cot^2 x = cosec^2 x

2. Solve for values x in the interval -pi<x<pi for the following in 2 decimal places:

a. 2cosec(x/2) - 5 =0

b. 2cot^2 x - cot x -7 = 0

Thanks