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Prove that tantheta/(1-cottheta)+cotthet...

Prove that `tantheta/(1-cottheta)+cottheta/(1-tantheta)=1+secthetacosectheta`

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sintheta/(1-cottheta)+costheta/(1-tantheta)= (a) theta (b)1 (c) costheta-sintheta (d) costheta+sintheta