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Math Help - Graphing y= 2cot(2x-pi/2)

  1. #1
    Junior Member
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    Graphing y= 2cot(2x-pi/2)

    Graph y= 2cot(2x-pi/2)

    State the period and phase shift.
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  2. #2
    Super Member
    Joined
    May 2009
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    I'll skip the graphing part. Note that
    y = 2\cot \left(2x-\frac{\pi}{2}\right) = 2\cot \left(2\left(x-\frac{\pi}{4}\right)\right).

    The basic form of the cotangent function is y = a\cot (b(x - h)) + k. The period would be \frac{\pi}{|b|}, and the phase shift is h.

    Therefore, in your problem, the period would be \frac{\pi}{2} and the phase shift would be \frac{\pi}{4}.


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