Question

How do you graph `r=-4sintheta`?

Answer 1

Compute polar points then connect the points.

Explanation:

From `r=-4 sin theta`

Radius `r" " "`Angle `theta`
~~~~~~~~~~~~~~~~~
`0" " " " "" " " " "0`
`-1.53" " " " "pi/8`
`-2.828" " " " "pi/4`
`-3.695" " " " "(3pi)/8`
`-4" " " " "" " " " "pi/2`
`-3.695" " " " "(5pi)/8`
`-2.828" " " " "(3pi)/4`
`-1.53" " " " "(7pi)/8`
`0" " " " "" " " " "pi`
`1.5307" " " " "(9pi)/8`
`2.828" " " " "(5pi)/4`
`3.695" " " " "(11pi)/8`
`4" " " " " " " " " "(3pi)/2`
`3.695" " " " "(13pi)/8`
`2.828" " " " "(7pi)4`
`1.53" " " " "(15pi)/8`
`0" " " " " " " " " "2pi`

![Desmos.com]()

![Desmos.com]()

God bless....I hope the explanation is useful.