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Thread: Rate of change of trig function

  1. #1
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    Question Rate of change of trig function

    Hi,

    I hope someone can help. I'm suppose to state two intervals where the function y = 3cos(4x)-4 has an AROC that is zero. I'm wondering why my textbook only gave the solution of 0 < x < pi/2, and pi < x < 3pi/2 ? Wouldn't the two intervals 0 < x < pi/2, and pi/2 < x < pi be just as correct?

    Please let me know!

    Sincerely,
    Olivia
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  2. #2
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    Re: Rate of change of trig function

    actually, there are an infinite number of intervals ... wherever $f(b) - f(a) = 0$

    the attached graph shows but a few intervals where the avg rate of change equals zero ...
    Attached Thumbnails Attached Thumbnails Rate of change of trig function-avgroc.jpg  
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  3. #3
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    Re: Rate of change of trig function

    So are you saying that both the textbook's solution and mine are correct?
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  4. #4
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    Re: Rate of change of trig function

    yes
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