Question

What is the formula for a rose curve?

Answer 1

`r = a sin(n theta) " or " r = a cos (n theta)`

Explanation:

Given: A rose curve

`r = a sin(n theta) " or " r = a cos (n theta)`,

where `a = "a constant that determines size"`

and if `n = "even"` you'll get `2n` petals

and if `n = "odd"` you'll get `n` petals

To graph a rose curve on a graphing calculator:

select MODE, arrow down to FUNC, arrow over to POL ENTER

select `Y=` and enter the following:

`r_1 = 8 sin 5 theta` GRAPH `=>` graphs a 5 petaled rose

`r_1 = 8 sin 4 theta` GRAPH `=>` graphs a 8 petaled rose