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How Many Solutions Does cos3x+cosxsin2x=4sinx\cos ^{3} x+\cos x \sin ^{2} x=4 \sin x

Question 103

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How many solutions does cos3x+cosxsin2x=4sinx\cos ^{3} x+\cos x \sin ^{2} x=4 \sin x have for πx2π-\pi \leq x \leq 2 \pi ?

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