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JEE Advance - Mathematics (1983 - No. 33)

Find all solutions of $$4{\cos ^2}\,x\sin x - 2{\sin ^2}x = 3\sin x$$
x = π/2 + kπ, k ∈ Z
x = arcsin(1/2) + 2kπ, k ∈ Z
x = π - arcsin(1/2) + 2kπ, k ∈ Z
x = kπ, k ∈ Z
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