How do you graph r=-4sinthetar=4sinθ?

1 Answer

Compute polar points then connect the points.

Explanation:

From r=-4 sin thetar=4sinθ

Radius r" " " r Angle thetaθ
~~~~~~~~~~~~~~~~~
0" " " " "" " " " "00 0
-1.53" " " " "pi/81.53 π8
-2.828" " " " "pi/42.828 π4
-3.695" " " " "(3pi)/83.695 3π8
-4" " " " "" " " " "pi/24 π2
-3.695" " " " "(5pi)/83.695 5π8
-2.828" " " " "(3pi)/42.828 3π4
-1.53" " " " "(7pi)/81.53 7π8
0" " " " "" " " " "pi0 π
1.5307" " " " "(9pi)/81.5307 9π8
2.828" " " " "(5pi)/42.828 5π4
3.695" " " " "(11pi)/83.695 11π8
4" " " " " " " " " "(3pi)/24 3π2
3.695" " " " "(13pi)/83.695 13π8
2.828" " " " "(7pi)42.828 (7π)4
1.53" " " " "(15pi)/81.53 15π8
0" " " " " " " " " "2pi0 2π

![Desmos.com](useruploads.socratic.org)

![Desmos.com](useruploads.socratic.org)

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