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[(cos theta)/(cosec theta-1)+(cos theta)...

[(cos theta)/(cosec theta-1)+(cos theta)/(cosec theta+1)=2],[" Zaxi "0^(@)

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

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

(cosec theta)/(cosec theta-1)+(cosec theta)/(cosec theta+1)=2sec^2theta

Prove that : (cosec theta)/(cosec theta-1)+ (cosec theta)/ (cosec theta+1)= 2 sec^2 theta .

(iii) (cos theta)/(csc theta+1)+(cos theta)/(csc theta-1)=2/cottheta

(1-cos^2 theta) cosec^2 theta=1

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

Prove that: ("cosec"theta)/("cosec"theta-1)+("cosec"theta)/("cosec"theta+1)=2sec^(2)theta

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

(sqrt((cosec^(2)theta-1)))/(cosec theta)=cos theta