Question

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

Answer 1

LHS = `(sec^2 theta -1)(cosec^2 theta-1)`

       =`tan^2 theta xx cot^2 theta  ( ∵ sec^2 theta - tan^2 theta = 1 and cosec^2 theta - cot^2 theta =1)`

      =` tan^2 theta xx1/(cos^2theta)`

     =1

      =RHS