" e "(tan theta-cot theta)/(sin theta cos theta)=tan^(2)theta-cot^(2)theta

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

(sin theta+cos theta)(tan theta+cot theta)=

Prove that (tan theta+cot theta+1)(tan theta+cot theta-1)=sec^2 theta+cot^2 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)

(tan theta)/(sec theta-1)-(sin theta)/(1+cos theta)=2cot theta

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

(cos ec theta-sin theta)(sec theta-cos theta)(tan theta+cot theta)=1

(tan theta+cot theta)/(tan theta-cot theta)=2,(0<=theta<=90^(@)) then the value of sin theta 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