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Prove that : (sintheta)/(sectheta+tant...

Prove that : `(sintheta)/(sectheta+tantheta-1)+(costheta)/("cosec"theta+cottheta-1)=1`

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i) Prove that: (1+tan^(2)A)/(1-tan^(2)A) xx (2 cos^(2) A-1)=1 ii) Prove that: (tantheta)/(1+cottheta)+(cottheta)/(1+tantheta) = "cosec"theta.sectheta-1