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

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

(cosec theta+sin theta)(cosec theta-sin theta)=cot^(2)theta+cos^(2)theta

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

csc theta(1+cos theta)(csc theta-cot theta)=1

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)

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