Question

convert the following equation from polar to rectangular form: theta=2pi/3

Answer 1

use
\[\tan \theta = \frac{y}{x}\]

Answer 2

\(\bf \theta=\cfrac{{\color{red}{ 2\pi}}}{{\color{blue}{ 3}}}\qquad tan(\theta)=\cfrac{{\color{red}{ y}}}{{\color{blue}{ x}}}\qquad rectangular\implies (\square ,\square )\)

Answer 3

I know that the answer is: \[\sqrt{3}x + y = 0\] but unsure the step to get there.

Answer 4

sub theta into equation

tan theta = y/x

what is tan(2pi/3) ?

Answer 5

Aha. I think I understand now. Thanks.

Answer 6

yw :)