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11 September, 07:37

Solve: sin^2 x + sin x cos x = 0

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  1. 11 September, 08:03
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    Sin² x + sin x cos x = 0

    sin x (sin x + cos x) = 0

    sin x = 0; x 1 = k π; k ∈ Z

    sin x + cos x = 0 / ²

    sin² x + 2 sin x cos x + cos² x = 0

    2 sin x cos x + 1 = 0

    sin (2 x) = - 1

    x = 3π / 2 + 2 kπ / : 2

    x 2 = 3π / 4 + kπ; k ∈ Z
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