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Math Help - Trigonometry graphing hard problem

  1. #1
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    Trigonometry graphing hard problem

    I have no idea on this if someone could explain how i would do this that would be so awesome!

    1) Sketch one cycle of the given function showing the values of each variable where the curve crosses the axis

    V=50sin(4.2*10^2t)
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  2. #2
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    Quote Originally Posted by GAVREED2 View Post
    I have no idea on this if someone could explain how i would do this that would be so awesome!

    1) Sketch one cycle of the given function showing the values of each variable where the curve crosses the axis

    V=50sin(4.2*10^2t)
    I like to think in terms of where a certain point gets mapped to when you transform the graph. So for example, take f(x) = sin(x) and then consider g(x) = a*sin(b*x). Well first consider h(x) = a*sin(x). The point (pi/2, 1) gets mapped to (pi/2, a). Then consider j(x) = sin(b*x). The point (pi/2, 1) gets mapped to ( (1/b) * (pi/2), 1). Combining, for g(x) the point (pi/2, 1) gets mapped to ( (1/b) * (pi/2), a).

    So in general (x,y) becomes (x/b, a*y).

    This means we can sketch this graph.



    Here, a = 50 and b = 4.2*10^2 (assuming I interpreted your parentheses properly).
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