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The number of solutions of sin^3x cos x + sin^2x cos^2x + sin x cos^3x = 1 in [0, 2π] is

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The number of solutions of sin3x cos x + sin2x cos2x + sin x cos3x = 1 in [0, 2π] is

(A)  4 

(B)  2 

(C)  1 

(D)  0

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Correct option  (D) 0

sinx cos x [sin2x + sin x cos x + cos2x] = 1

which is not possible.

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