Question

Prove `tan^-1 (cot (theta)) /2 = pi/4 + theta/2`?

Answer 1

I answer will be like that:

Explanation:

`L.H.S=(tan^(-1)(cottheta))/2`

`=-(tan^(-1)(tan(pi/2+theta))/2)`

`=-((pi/2+theta)/2)`

`=-(pi/4+theta/2)=R.H.S`