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Math Help - Max value of trigonometric function

  1. #1
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    Post Max value of trigonometric function

    Decide the x-value which is Max value of the function y=4sin(x)+3cos(x) in 0<=x<=2

    Thanks for helping.
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  2. #2
    MHF Contributor
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    Endpoints (0,3) and (2,2.3887)

    1st derivative \displaystyle y'=4\cos{x}-3\sin{x}=0\Rightarrow \frac{4}{3}=\tan{x}

    Solve the equation for rel. maxes between [0,2] if there are any.
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