" 32."(cot^(2)theta(sec theta-1))/((1+sin theta))+(sec^(2)theta(sin theta-1))/((1+sec theta))=0

What will be the value of following identities : (cot^(2) theta (sec theta -1))/((1+ sin theta))+ (sec^(2)theta (sintheta -1))/((1+ sec theta))

Prove the following identity : cot^2 theta ((sec theta-1)/(1+sin theta))+ sec^2 theta ((sin theta-1)/(1+sec theta)) =0 .

The trigonometric expression: cot^(2)[(sec theta-1)/(1+sin theta)]+sec^(2)theta[(sin theta-1)/(1+sec theta)] has the value has the

(tan theta+sec theta-1)(tan theta+1+sec theta)=(2sin theta)/(1-sin theta)

(sec^2 theta-1)/(sec^2 theta)- sin^2 theta=

(cot theta)/((1-sin theta) (sec theta + tan theta)) is equal to:

(tan theta+sec theta-1)/(tan theta-sec theta+1)=(1+sin theta)/(cos theta)

(tan theta+sec theta-1)/(tan theta-sec theta+1)=(1+sin theta)/(cos theta)

(tan theta+sec theta-1)/(tan theta-sec theta+1)=(1+sin theta)/(cos theta)

Prove :(cos theta)/(1+sin theta)+(cos theta)/(1-sin theta)=2sec theta