[" EXAMPLE 19Prove that "],[qquad (cosec theta)/((cosec theta-1))+(cosec theta)/((cosec theta+1))=2sec^(2)theta]

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(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 .

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

(cot theta)/((cosec theta+1))+((cosec theta+1))/(cot theta)=2sec theta

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

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

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

(cot theta + "cosec" theta -1)/( cot theta - "cosec" theta +1) is

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

Prove that (tan theta)/(sec theta -1)+ (tan theta)/(sec theta +1) = 2 cosec\ theta