Question

Find the rectangular coordinates of the point with the polar coordinates (-7, 5 pi/3)

Answer 1

\[write x=r \cos \theta and y=r\]
\[r=-7,\theta=\frac{ 5\pi }{3 }\]
plug the values and calculate

Answer 2

would it be (7/2, 7sqrt3/2) @surjithayer ?

Answer 3

\[x=-7\cos \frac{ 5\pi }{3 }=-7\cos \left( 2\pi-\frac{ \pi }{3 } \right)=-7\cos \frac{ \pi }{3 }=-\frac{ 7 }{2 }\]
y co-ordinate is correct.

Answer 4

thank you

Answer 5

yw