Question

prove that: cot theta -tan theta = 2 cos2theta-1 by sin theta cos theta​

Answer 1

Step-by-step explanation:

=CotA-tanA

=CosA/SINA- SinA/cosA

=Cosa. Cosa-Sina. Sina/sina. Cosa

=Cos square A-sin square A/sina.cosa

=2cosa-1 /sina. Cosa

Hence proved

Answer 2

Answer:

Step-by-step explanation: LHS =cot theta -tan theta

=cos theta /sin theta -sin theta /cos theta

=cos^2 theta -sin^2 theta/sin theta. cos theta

=cos^2theta-(1-cos^2theta)/sin theta.cos theta

=2cos^2theta-1/sin theta.cos theta=RHS