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15 September, 19:29

Solve, finding all the solutions in [O, 2pi).

cot (x) cos (x) + cot (x) = 0

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  1. 15 September, 21:29
    0
    Step-by-step explanation:

    cot (x) cos (x) + cot (x) = 0

    cot (x) (cos (x) + 1) = 0

    cot (x) = 0 or cos (x) = - 1

    cot (x) = 0

    x = π/2, 3π/2

    x ≠ 0, π

    cos (x) = - 1

    x = π

    Therefore, the answer is x = π/2, 3π/2.
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