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Prove the following identities, where th...

Prove the following identities, where the angles involved are acute angles for which the expressions are defined. : `(tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+secthetacosectheta` .

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tantheta/(1-cottheta)+cottheta/(1-tantheta)=1+tantheta+cottheta .