Question

Converting polar to cartesian

Answer 1

\[r^2+2r^2\cos \theta \sin \theta\]
Steps please.

Answer 2

\[r = \sqrt{x^2+y^2} \]
\[ \cos(\theta) = \frac{x}{r} \]
\[ \sin(\theta) = \frac{y}{r} \]

Answer 3

Trying to replace values now.

Answer 4

Still can't get it. It's actually what I tried to do many times. Except That instead of of going r = square root, etc. I plugged it in directly. I can't get seperate the 2xy at the end. I can
t isolate the y since the answer is x+y = plus or minus 1.

Answer 5

\[x^2 + y^2 + 2xy = (x+y)^2\]

Answer 6

! Crap, I got stuck in a dumb place big time. Thanks.

Answer 7

Happens sometimes, no worries.