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

Prove that (sin theta + "cosec" theta)^(2)+(cos theta + sec theta)^(2)=(7+ tan^(2) theta + cot^(2) theta).

Prove that (sin theta + cos theta )( cosec theta - sec theta ) = cosec theta. Sec theta -2 tan theta

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

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

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

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

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

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

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