Question

How do you graph `r = 3sin ((theta) + pi/4)`?

Answer 1

Draw circle with center at `(3/2, 3pi/4)` and radius `3/2`.

Explanation:

The general equation of a circle with center at `(d/2, pi/2+alpha) and radius=d/2` is
`r=d sin (theta+alpha)`.

Here, d =3 and `alpha=pi/4`. The circle passes through r = 0. d is diameter of the circle.

Make a table `(r, theta)}, theta=0,pi/4,pi/2,3pi/4,pi,5pi/4,3pi/2,5pi/4 and 2pi`, and mark the points on the circle.