" Fersed of trits ":(tan theta-cot theta)/(sin theta cos theta)=tan^(2)theta-cot^(2)theta

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

(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

Write the value of sin^(2)theta cos^(2)theta(1+tan^(2)theta)(1+cot^(2)theta).

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