if sinA , CosA and tanA are In G.P then Cos

^{3 }A+ cos^{2}A is equal to ?-
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if sinA , CosA and tanA are In G.P then Cos^{3 }A+ cos^{2} A is equal to ?

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If sinA, cosA and tanA are consecutive terms of a geometric progression, then:

cos^{2}A = (sinA)(tanA) = sin^{2}A/cosA

so cos^{3}A = sin^{2}A = 1 - cos^{2}A

therefore cos^{2}A + cos^{3}A = 1

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