Question

( sec^2 ∅ -1)( 1- cosec^2 ∅)​

Answer 1

*Solution:-

Using identities,

(sec2 θ − tan2 θ) = 1 and (cosec2 θ − cot2 θ) = 1

We have,

L.H.S = (sec2 θ – 1)(cosec2θ – 1)

= tan2θ × cot2θ

= (tan θ × cot θ)2

= (tan θ × 1/tan θ)2

= 12 = 1 = R.H.S

Hence Proved