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Prove the following identity, where t...

Prove the following identity, where the angles involved are acute angles for which the expressions are defined. (vii) `(sintheta-2sin^3theta)/(2cos^3theta-costheta)=tantheta`

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Prove the following identity, where the angles involved are acute angles for which the expressions are defined. (i) (cosectheta-cottheta)^2=(1-costheta)/(1+costheta)

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