SOLUTION: Convert the equation {{{r=-6 csc theta}}} to rectangular form.

Algebra ->  Trigonometry-basics -> SOLUTION: Convert the equation {{{r=-6 csc theta}}} to rectangular form.      Log On


   

Question 855381: Convert the equation r=-6+csc+theta to rectangular form.
Found 2 solutions by stanbon, KMST:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Convert the equation r=-6+csc+theta to rectangular form.
---------------------
r = sqrt(x^2+y^2)
theta = arctan(y/x)
-------
If tan(t) = y/x, csc(t) = sqrt(x^2+y^2)/y
============================
Substitute to get an equation in x and y.
-----------------------
sqrt(x^2+y^2) = -6[sqrt(x^2+y^2)/y
----
y = -6
====================
Cheers,
Stan H.
====================

Answer by KMST(5328) About Me  (Show Source):