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Math Help - Arslan

  1. #1
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    Arslan

    Can we determine the number of leaves in a given trigonometric function for which we have to plot a graph in polar coordinates...? For Example, sin(3theeta) has 3 leaves and cos(2theeta) has 4 leaves etc....Is there any formula ?
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  2. #2
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    Re: Arslan

    Hello, arslan9451!

    Can we determine the number of leaves in a given trigonometric function
    . . for which we have to plot a graph in polar coordinates?
    For example, \sin3\theta has 3 leaves, and \cos2\theta has 4 leaves etc.
    Is there any formula ?

    If you are referring to "rose curves": . \begin{Bmatrix}r \:=\: a\sin n\theta \\ \text{or} \\ r \:=\:a\cos n\theta\end{Bmatrix} .there is a formula.

    If n is odd, there are n petals.

    If n is even, there are 2n petals.

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