" 4.(i) "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)

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

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

If tan theta+cot theta=2 then sin theta+cos theta=

(sin theta" cosec "theta tan theta cot theta)/(sin^(2)theta+cos^(2)theta)

y=1/((1+tan theta)^(sin theta-cos theta)+(cot theta)^(cos theta-cot theta))+ 1/((1+tan theta)^(cos theta-sin theta)+(cot theta)^(sin theta-cottheta)) +1/((1+tan theta)^(cos theta-cot theta)+(cot theta)^(cot theta-sin theta)) then (dy)/(dx) at theta=pi/3 is

y=1/((1+tan theta)^(sin theta-cos theta)+(cot theta)^(cos theta-cot theta))+ 1/((1+tan theta)^(cos theta-sin theta)+(cot theta)^(sin theta-cottheta)) +1/((1+tan theta)^(cos theta-cot theta)+(cot theta)^(cot theta-sin theta)) then (dy)/(dx) at theta=pi/3 is