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" (iii) "(cosec theta)/((cosec theta-1))...

" (iii) "(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

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

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

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

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

Prove each of the following identities : (i) (tan theta)/((sec theta -1)) + (tan theta)/((sec theta +1)) = 2 "cosec" theta (ii) (cot theta)/(("cosec" theta +1))+ (("cosec" theta +1))/(cot theta ) = 2 sec theta

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

The value of (sec^2 theta)/(cosec^2 theta)+ (cosec^2 theta)/(sec^2 theta)-(sec^2 theta+ cosec^2 theta) is: