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Q.

If 1 + sinx sin 2x = cosx cos 2x, then x =

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a

2nπ, n  Z

b

2nπ3, n  Z

c

2nπ5, n  Z

d

2nπ7, n  Z

answer is B.

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Detailed Solution

1+sin x sin2x=cos x cos2x cos2x cos x-sin2x sin x=1    cos3x=1=cos2            x=23

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