Question

Prove that:





Plz explain!

Answer 1

Hope it helps you.
Thank you.

Answer 2

Given RHS = cot theta - tan theta

                   $= \frac{cos theta}{sin theta} - \frac{sin theta}{cos theta}$

                   On cross multiplication, we get

                  $\frac{cos theta * cos theta * sin theta * sin theta}{sin theta * cos theta}$

                 $\frac{cos^2 theta - sin^2 theta}{sin theta * cos theta}$

                $\frac{cos^2 theta - (1 - cos^2 theta)}{sin theta * cos theta}$

               $\frac{cos^2 theta - 1 + cos^2 theta}{sin theta * cos theta}$

               $\frac{2 cos^2 theta - 1}{sin theta * cos theta}$


LHS = RHS


Hope this helps!