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Question

If cos(xy),cos x,cos(x+y) are three distinct numbers which are harmonic progression and cos xcos y then 1+cosy=


A

cos2x

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B

cos2x

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C

cos2x1

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D

cos2x2

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Solution

The correct option is A

cos2x


b=2aca+ccos x=2 cos(xy)cos(x+y)cos(xy)+cos(x+y)1+cos y=cos2x


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