Question

Rose curves are characterized by equations of the form r=acos(nθ) or r=asin(nθ), a≠0. If n≠0 is even, the rose has __________ petals; if n≠±1 is odd, the rose has __________ petals.

Answer 1

We have that:

If n is an even integer, then the rose will have 2n petals.

If n is an odd integer, then the rose will have n petals.

Answer:

Rose curves are characterized by equations of the form r=acos(nθ) or r=asin(nθ), a≠0. If n≠0 is​ even, the rose has​ 2n petals; if n≠±1 is​ odd, the rose has n petals.