precalculus

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Find all solutions for the equation 3cos(x)=cot(x).

When do I use +2kpi? Is it only when I'm suppose to "find all solutions"?

I got sin(x)=1/3. Is that correct?

  • precalculus -

    3 cos x = cos x / sin x

    trick is that if cos x = 0, that is a solution so

    x = pi/2 or x = 3 pi/2 are solutions

    as well as when sin x = 1/3

    sin^-1(1/3) = 19.5 degrees or .34 radians
    or 180 - 19.5 = 160.5 degrees or 2.8 radians

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