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Math Help - period of trig function

  1. #1
    Senior Member furor celtica's Avatar
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    period of trig function

    Write down the period of the graph of y=3/(2+(cos2x)^2), and also the coordinates of a maximum value of y.

    For the second question I answered correctly.
    For the first, however I didnt.
    It seems obvious to me that the period is 90, due to x being multiplied by 2 and the expression being squared; however the answer is 180.
    Its also clear by the graph that the period is 90; is this a typo?
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: period of trig function

    modified.
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  3. #3
    MHF Contributor
    Opalg's Avatar
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    Re: period of trig function

    Quote Originally Posted by furor celtica View Post
    Write down the period of the graph of y=3/(2+(cos2x)^2), and also the coordinates of a maximum value of y.

    For the second question I answered correctly.
    For the first, however I didnt.
    It seems obvious to me that the period is 90, due to x being multiplied by 2 and the expression being squared; however the answer is 180.
    Its also clear by the graph that the period is 90; is this a typo?
    If it's y = \frac3{2+(\cos(2x))^2} then your answer 90 is correct. If it was supposed to be y = \frac3{(2+\cos(2x))^2} then it would be 180 (but in that case the coordinates for the max value of y would be different).
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