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tuhinr_007 (0)

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If cos(x-y),cosx,cos(x+y) are in H.P.,then cosxsec(y/2) is equal to................

    
ayshwarya (285)

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is d ans  if yes den tell me i wud giv d ans

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ayshwarya (285)

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plz is it rite
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tuhinr_007 (0)

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i m afraid it isn't
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rohitkuruvila (384)

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is it cos x

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spideyunlimited (4185)

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answer is root 2

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- Gaurav Ragtah (spideyunlimited)
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spideyunlimited (4185)

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Solving the whole thing using AM concept we finally get
xos^2x.cosy = cos^2y + cos^2x - 1
cos^2 x = (1-cos^2y) / (1-cosy)
cos^2 x = 1 + cos y
cos^2 x = 2cos^2(y/2)
cos^2 x. sec^2 (y/2) = 2
cosx.sec(y/2) = +- rt (2)

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