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8 May, 10:50

Find 2 solutions for cot (θ) = - √3 what is the easiest way to find this? ... ?

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  1. 8 May, 10:55
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    Cot t = - √3

    cos t / sin t = - √3

    cos t = - √3 sin t

    cos t + √3 sin t = 0 / : 2

    1/2 cos t + √3/2 sin t = 0 (we will use the additional formula)

    sin 30° * cos t + cos 30° * sin t = 0

    sin (30° + t) = 0

    30° + t = 0, t = - 30°

    30° + t = 180° t = 150°

    Answer:

    t 1 = - π/6,

    t 2 = 5π/6
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