Question

Express the Cartesian coordinates (-2,2√3) as polar coordinates.



(-4, 30°)

(4, -60°)

(4, 120°)

(4, 150°) <--- is this right??

Answer 1

its 3

Answer 2

4,120

Answer 3

how did u find 4

Answer 4

\[take ~~x=rcos \theta~~and \\y=r \sin \theta\]
now square them and add

Answer 5

u'll get
\[r^2=x^2+y^2\\r=\sqrt{x^2+y^2}=\sqrt{16}=4\]

Answer 6

then I did sine