If sin A, cos A and tan A are in G.P.,then co | vedclass

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(A) Given that $\sin A, \cos A, 	an A$ are in $G.P.$Therefore,the condition for $G.P.$ is $(\cos A)^2 = \sin A \cdot 	an A$.Substituting $	an A = \

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(A) Given that $\sin A, \cos A, 	an A$ are in $G.P.$Therefore,the condition for $G.P.$ is $(\cos A)^2 = \sin A \cdot 	an A$.Substituting $	an A = \frac{\sin A}{\cos A}$,we get $\cos^2 A = \sin A \cdot \frac{\sin A}{\cos A}$.Multiplying both sides by $\cos A$,we get $\cos^3 A = \sin^2 A$.We know the identity $\sin^2 A = 1 - \cos^2 A$.Substituting this into our equation,we get $\cos^3 A = 1 - \cos^2 A$.Rearranging the terms,we get $\cos^3 A + \cos^2 A = 1$.

If $\sin A, \cos A$ and $\tan A$ are in $G.P.$,then $\cos^3 A + \cos^2 A$ is equal to

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