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17 October, 18:28

Find all solutions to the equation sin2x + sin x = 0, sin2x = - sinx

hint: sin2x = 2sinxcosx

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  1. 17 October, 22:27
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    Sin 2 x + sin x = 0,

    2 sin x cos x + sin x = 0

    sin x (2 cos x + 1) = 0

    sin x = 0 or : 2 cos x + 1 = 0

    x 1 = k π 2 cos x = - 1

    k ∈ Z cos x = - 1/2

    x 2 = 2π/3 + 2 kπ, x 3 = 4π/3 + 2 kπ, k ∈ Z
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