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Math Help - cot(x) = 0, find x

  1. #1
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    cot(x) = 0, find x

    Okay, so I know that the tan(0 deg) and tan(180 deg) (or 0 rad and pi rads) are both 0, so wouldn't the cot of those be undefined since it's the reciprocal of the tan? The answer says pi/2 though.
    Last edited by daigo; June 8th 2012 at 03:31 AM.
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    Re: cot(x) = 0, find x

    Quote Originally Posted by daigo View Post
    Okay, so I know that the tan(90 deg) and tan(270 deg) (or pi/2 and 3pi/4 rads) are both 0, so wouldn't the cot of those be undefined since it's the reciprocal of the tan? The answer says pi/2 though.
    \displaystyle \begin{align*} \cot{x} &= 0 \\ \frac{\cos{x}}{\sin{x}} &= 0 \\ \cos{x} &= 0 \\ x &= \frac{\pi}{2} + n\pi, n \in \mathbf{Z} \end{align*}
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    Re: cot(x) = 0, find x

    in other words, the places where cot(x) = 0 are the places where tan(x) are undefined.
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