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Math Help - What is cot(x)=0

  1. #1
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    What is cot(x)=0

    Can cot(x)=0 and what are the values.

    And also, how would I solve this.
    cot^2x-cotx=0
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  2. #2
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    Quote Originally Posted by acevipa View Post
    Can cot(x)=0 and what are the values.

    And also, how would I solve this.
    cot^2x-cotx=0

    \cot(x)=\frac{\cos(x)}{\sin(x)}

    so it has the same zero's as the cosine function

     \cot^2x-\cot(x) =0 \iff \cot(x) [\cot(x)-1]=0

    so \cot(x) = 0 or \cot(x)=1

    x=\pi \cdot k \mbox{ } k \in \mathbb{Z} and for the 2nd

    x=\frac{\pi}{4}+\pi \cdot k \mbox{ } k \in \mathbb{Z}
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