What is the formula for a rose curve?

1 Answer
Jul 20, 2018

#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

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

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