Question

Draw a graph of the rose curve. r = -3 sin 5θ, 0 ≤ θ ≤ 2π

Answer 1

Tada, Its on the Image. Hoped I helped :)

Answer 2

Refer the attached figure below.

Explanation:

Given : The rose curve
`r=-3\sin (5\theta)`

To find : Draw a graph of the rose curve?

Solution :

We have given the curve
`r=-3\sin (5\theta)` in polar form.

In Cartesian coordinates, a point is specified by X and Y values.

In polar coordinates, a point is specified by r and θ

Where, r is the point radical distance from the origin.

and θ is the angle that gives the direction between the positive x axis and the point.

Now, we plot the graph of curve
`r=-3\sin (5\theta)`

where,
`0\leq \theta \leq 2\pi`

Refer the attached figure below.