" 27."(1)/(1-cos theta)-(1)/(1+cos theta)=(2cos theta)/(sin^(2)theta)=2cot theta*cosec theta

(1)/(1-cos theta)-(1)/(1+cos theta)=(2cos theta)/(sin^(2)theta)=2cot theta xx csc

(sin theta)/((1+cos theta))+((1+cos theta))/(sin theta)=2cosec theta

(cos theta)/(cosec theta+1)+(cos theta)/(cosec theta-1)=2tan theta

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

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

Prove that : (sin theta)/(1+cos theta) + (1+cos theta)/(sin theta)= 2 cosec theta .

((1+cos theta)^2+ sin^2 theta)/((cosec^2 theta-1) sin^2 theta) =

(sin^(3)theta-cos^(3)theta)/(sin theta-cos theta)-(cos theta)/(sqrt(1+cot^(2)theta))-2tan theta*cot theta=-1

((1+cos theta)^2+ sin^2 theta)/ ((cosec^2 theta-1)sin^2 theta) =?