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

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

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

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

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

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

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

Prove that sqrt((1+costheta)/(1-costheta))+sqrt((1-cos theta)/(1+cos theta))=2 " cosec"theta.

sec theta + "cosec"theta = 2sqrt(2)

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

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