Question

prove that √sec²Φ+ cosec ²Φ =tanΦ+cotΦ​

Answer 1

Consider LHS

(sec^2+cosec^2)^1/2

(1+tan^2+1+cot^2)^1/2

(2+tan^2+ cot^2)^1/2

{(tan+cot)^2}^1/2

tan+cot

LHS=RHS
Hence proved