Question

Prove that cot theta minus tan theta is equal to 2 cosec theta - 1 / sin theta cos theta

Answer 1

Answer:

Let θ =A

Cot A --tan A

= cosA/sinA -- sinA/cosA

=cos^2 A -- sin^2 A / sinA.cosA

=cos^2 --(1--cos^2 A)/sinA.cosA

=cos^2 --1 + cos^2 A / sinA.cosA

=2cos^2 --1/sina.cosA