`(cosec theta-sin theta)(sec theta-cos theta)=sin theta. cos theta`

Find ("cosec" theta-sin theta)(sec theta-cos theta)(tan theta+cot theta) :?

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

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

Prove the following identity : (sec theta-cos theta) (cosec theta-sin theta)=1/(tan theta+ cot theta) .

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

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