Question

How do you prove the identity `(1+cos2theta)/sin(2theta)=cottheta`?

Answer 1

Prove identity

Explanation:

Use the trig identities:
`1 + cos 2a = 2cos^2 a`
`sin 2a = 2sin a.cos a`

`P = (2cos^2 t)/(2sin t.cos t) = (cos t)/(sin t) = cot t`