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Adding up every root in [0, 2π] of the quadratic 2 sin²x - 3 sin x + 1 = 0 gives
A5π/2
B3π/2
C2π
Dπ
Answer & Solution
Correct answer: B. 3π/2
Factoring gives sin x = 1/2 or 1, so x = π/6, 5π/6 and π/2, which add up to 3π/2.
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