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

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

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

Prove that (1+sin theta)/(csc theta-cot theta)-(1-sin theta)/(csc theta+cot theta)=2(1+cot theta)

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

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

((sec theta + tan theta) (1- sin theta))/(cosec theta (1 + cos theta)(cosec theta - cot theta)) is equal to: ((sec theta + tan theta) (1- sin theta))/(cosec theta (1 + cos theta)(cosec theta - cot theta)) बराबर है :

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

(sec theta+tan theta)/(csc theta+cot theta)=(csc theta-cot theta)/(sec theta-tan theta)

Prove the following trigonometric identities: sqrt((1-sin theta)/(1+sin theta))=sec theta-tan thetasqrt((1+cos theta)/(1-cos theta))=csc theta+cot theta

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