Prove the following identities: `(tantheta-cottheta)/(sinthetacostheta)=sec^2theta-cos e c^2theta=tan^2theta-cot^2theta`

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

Prove the following identity : (tan theta-cot theta)/ (sin theta cos theta)= sec^2 theta- cosec^2 theta .

Prove the following (tantheta-cottheta)/(sintheta*costheta) =sec^2theta-cosec^2theta.

Prove the following identities: tan^2theta+cot^2theta+2=sec^2thetacos e c^2theta

Prove the following identities: tan^(2)theta+cot^(2)theta=sec^(2)thetacosec^(2)theta-2

Prove the following identities: (sin theta)/(1-cos theta)+(tan theta)/(1+cos theta)=sec theta cos ect+cot theta

Prove the following identity: (2sinthetacostheta-costheta)/(1-sintheta+sin^2theta-cos^2theta)=cottheta

Prove the following identity: (1+cot theta-cos ec theta)(1+tan theta+sec theta)=2

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

Prove the following identities: (sec-tan theta)/(sec theta+tan theta)=1-2sec theta tan theta+2tan^(2)theta