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Math Help - Help with sinus functions

  1. #1
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    Help with sinus functions

    I`m having trouble understanding the sinus functions.
    I understand that it is periodic with 360 degrees.

    But I am having trouble findig top and bottom points and the point zero in
    f.eks Sin 2x.


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  2. #2
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    Quote Originally Posted by Nordis View Post
    I`m having trouble understanding the sine function.
    I understand that it is periodic with 360 degrees.

    But I am having trouble findig top and bottom points and the point zero in
    f(x) = Sin 2x.

    Hi Nordis,

    The zeros of y = \sin x (the values of x where sin x = 0) are at the multiples of \pi and it is there that the graph crosses the x-axis. \sin x has a maximum value of -1 at \frac{\pi}{2} and a minimum value of -1 at \frac{3\pi}{2} and all angles coterminal with them.

    The values of sin x regularly repeat themselves every 2\pi units. Thus, sin x has a period of 2\pi (360 degrees).

    Now, y=\sin 2x means there are 2 periods in an interval of 2\pi

    Finally, in y=\sin 2x, the 2 means that in an interval of length 2\pi, there are 2 periods. There will be 2 occilations every 2\pi \ \ or \ \ 360^{\circ}. The period will be \frac{2\pi}{2} or \pi.
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