" 23.(i) "cot theta-tan theta=(2cos^(2)theta-1)/(sin theta cos theta)

Prove the following trigonometric identities: cot theta-tan theta=(2cos^(2)theta-1)/(sin theta cos theta)

Prove that : tan theta - cot theta = (2 sin^(2) theta - 1)/(sin theta cos theta)

Prove that : tan theta - cot theta = (2 sin^(2) theta - 1)/(sin theta cos theta)

Prove that (cos^(2) theta)/(1-tan theta)+(sin^(3) theta)/(sin theta - cos theta) =1 + sin theta cos theta .

Prove : (cos^2 theta)/(1-tan theta) + (sin^3 theta)/(sin theta-cos theta) = 1 + sin theta cos theta

Prove: (cos^2theta)/(1-tan theta) + (sin^3 theta)/(sin theta - cos theta ) = 1 + sin theta cos theta

The value of ((sin theta -cos theta )(1+tan theta + cot theta ))/(1+sin theta cos theta ) = ?

Prove that (sin theta+cos theta)/(sin theta- cos theta) + (sin theta - cos theta)/(sin theta + cos theta) = ( 2sec^(2) theta)/(tan^(2) theta -1) .

If sqrt(3)sin theta=cos theta, find the value of (sin theta tan theta(1+cot theta))/(sin theta+cos theta)

(xv) (cos^2 theta) / (1- tan theta) +( sin^3 theta)/ (sin theta - cos theta) = 1 + sin theta cos theta