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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- April 9th 2013, 02:00 PMarslan9451Arslan
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 ?

- April 9th 2013, 06:37 PMSorobanRe: Arslan
Hello, arslan9451!

Quote:

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, has 3 leaves, and has 4 leaves etc.

Is there any formula ?

If you are referring to "rose curves": . .there is a formula.

If is odd, there are petals.

If is even, there are petals.