Question

`(1+ cos theta)(1- costheta )(1+cos^2 theta)=1`

Answer 1

LHS = `(1+costheta )(1-cos theta)(1+ cot^2 theta)`

       =` (1-cos^2 theta) cosec^2 theta`

       =` sin^2 theta xx cosec^2 theta`

       =` sin^2 theta xx1/(sin^2 theta)`

      =1

     = RHS