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Math Help - Quick trig question

  1. #1
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    Quick trig question

    Complete the following chart

    y=cosx y=-cosx y=cos(-x)
    domain
    range
    amplitude
    period
    x-intercept
    y-intercept

    Thank you!
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  2. #2
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    Quote Originally Posted by johett View Post
    Complete the following chart

    y=cosx y=-cosx y=cos(-x)
    domain
    range
    amplitude
    period
    x-intercept
    y-intercept

    Thank you!
    You should be able to do the domain and range of these functions easily.

    Otherwise
    y = A~cos(kx)
    is the (almost) most general form for the cosine function, where A is the amplitude. The period P of this function can be obtained by setting x = P:
    kP = 2 \pi \implies P = \frac{2 \pi}{k}

    The x intercept(s) should also be fairly easy. For what x values does cos(x) become 0?

    For the y intercept simply input x = 0 into your equation.

    -Dan
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  3. #3
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    Please find exact value

    Please find exact value

    tan \frac{19\pi}{12}
    The correct answer is -2-{\sqrt 3}

    tan \frac{19\pi}{12}

    -tan 75=-tan (45 +30)=- \frac{3+\sqrt 3}{3-\sqrt 3}

    What am I doing wrong?

    Thank you
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