Question

Help please !

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

Answer 1

Is it (-3/2, 3/2) ?

Answer 2

\[x=r \cos \theta ,y=r \sin \theta \]
\[r=-3,\theta =\frac{ 5 \pi }{ 3 }\]
x co-ordinate is correct.
calculate y co-ordinate again.

Answer 3

the general eqn to convert from polar coordinates (r, theta) to rect coord (x,y) is:
x=rcostheta and y=rsintheta

Answer 4

is it (-3/2, 3pi3/2)?

Answer 5

nope sorry: y=(-3)sin(5pi/3)

Answer 6

That's not one of my options =\

Answer 7

\[\sin \frac{ 5 \pi }{ 3 }=\sin \left( 2 \pi-\frac{ \pi }{ 3 } \right)=-\sin \frac{ \pi }{ 3 }=-\frac{ \sqrt{3} }{ 2 }\]
now you can complete.

Answer 8

Those are the options Im given

Answer 9

y = \frac{ 3*\sqrt{3} }{ 2 }\]

is not one of the option?