What is the formula for a rose curve?

Question

6919 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-20T20:51:09

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

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

enter image source here

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

enter image source here