" 13."sec theta*cosec theta=tan theta+cot theta

Prove the following identity : sqrt (sec^2 theta+ cosec^2 theta)= tan theta+ cot theta= sec theta cosec theta .

(cosec theta + sin theta) (sec theta - cos theta) tan theta + cot theta) is equal to

("cosec " theta - sin theta ) ( sec theta - cos theta ) ( tan theta + cot theta ) =

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

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

(sec theta+csc theta)^(2)-(tan theta+cot theta)^(2)=

Prove that (sin theta- "cosec" theta )(cos theta- sec theta )=(1)/(tan theta + cot theta).

Prove that (sin theta- "cosec" theta )(cos theta- sec theta )=(1)/(tan theta + cot theta).

What is ((sin theta +cos theta)(tan theta +cot theta))/(sec theta + cosec theta) equal to ?