Question

39. Prove that sec 2 Ѳ +cosec 2 Ѳ=sec 2 Ѳ .cosec 2 Ѳ

Answer 1

Given sec^ 2@ +cosec ^2@ = sec ^2@×cosec ^2@ ........... LHS = sec^2@+cosec ^2@ = 1/ cos^2@+ 1/cosec^2@ =( sin^2@+cos^2@)÷(cos@×sin@ )^2 =1/ (cos @×sin@)^2 = sec^2@×cosec ^2@= RHS .....PROVED