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if sinA , CosA and tanA are In G.P then CosA+ cos2 A is equal to ?
 
 
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If sinA, cosA and tanA are consecutive terms of a geometric progression, then:
cos2A = (sinA)(tanA) = sin2A/cosA
 
so cos3A = sin2A = 1 - cos2A
 
therefore cos2A + cos3A = 1