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20 October, 13:28

Find the solutions of the equation that are in the interval [0, 2π). (enter your answers as a comma-separated list. if there is no solution, enter no solution.) cot2 θ + cot θ = 0

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  1. 20 October, 13:48
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    Hello:

    cot (2 θ) + cot (θ) = 0

    cot (2 θ) = - cot (θ)

    cot (2 θ) = cot ( - θ)

    2 θ = - θ + 2k π k in : Z

    θ = 2k π / 3

    in : [0, 2π)

    k=0 : θ = 0

    k=1 : θ = 2π / 3

    k=2 : θ = 4π / 3
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