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Math Help - Trigo...

  1. #1
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    Trigo...

    Trigo...-ck2.bmp
    Find the maximum and minimum values of y^2 as θ varies between 0 degree and 90 degree inclusive.
    Is the amplitude 4?
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  2. #2
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    Recall that

    -1 \leq \cos{x} \leq 1 for all x, so

    0 \leq \cos^2{x} \leq 1 for all x.


    Therefore 0 \leq \cos^2{(\theta + 30^{\circ})} \leq 1

    and 0 \leq 4\cos^2{(\theta + 30^{\circ})} \leq 4.
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