Question

Prove that cottheta-tan theta = 2cos2theta-1/ sintheta cos theta

Answer 1

cotQ-tanQ=2cos2Q-1/sinQ cosQ
LHS=cotQ-tanQ
=cotQ/sinQ -sinQ/cosQ
=cos^2Q-sin^2Q/sinQ cosQ
cos2Q/sinQ cosQ
=2cos2Q-1/sinQ cosQ =RHS

Answer 2

helping answer.........................