Question

best answer get awarded ​

Answer 1

RHS

1/(sin^2@- sin^4@)

1/sin^2@(1 - sin^2@)

1/sin^2@ *cos^2@

we know that

1 = sin^2@ + cos^2@

so

(sin^2@ + cos^2@)/sin^2@*cos^2@

sec^2@+ cosec^2@

1 + tan^2@ + 1+ cot^2@

1+ tan^2@+ 1 + 1/tan^2@

Hence

LHS = RHS

proved