Question

Find the rectangular coordinates of the point with the polar coordinates (3, 3 divided by 2 pi).

(0, 3)

(0, -3)

(-3, 0)

(3, 0)

Answer 1

\(\large x = r\cos \theta\)

\(\large y = r\sin\theta\)

Answer 2

what happens next?

Answer 3

plugin the given values

Answer 4

what is r equal to?

Answer 5

you're given polar coordinates : \(\large (3, \frac{3 \pi}{2})\)

Answer 6

that means, you're given the length and angle :

\(\large r = 3\), \(\large \theta = \frac{3\pi}{2}\)

Answer 7

use the given formula to convert it to rectangular form

Answer 8

ohhh okay so it would be x: cos 3pi/2
and y would be: 3 sin 3pie/2

Answer 9

yup !

Answer 10

sorry redo : x = 3 cos 3pi/2
y = 3 sin 3pi/2

Answer 11

it doesnt matter, but small correction :
ohhh okay so it would be x: 3cos 3pi/2
and y would be: 3 sin 3pie/2

Answer 12

yes...

Answer 13

simplify

Answer 14

how do u simplify that?

Answer 15

whats cos (3 pi/2) ?

Answer 16

.99

Answer 17

http://www.google.com/imgres?imgurl=http://upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Unit_circle_angles_color.svg/720px-Unit_circle_angles_color.svg.png&imgrefurl=http://en.wikipedia.org/wiki/Unit_circle&h=225&w=225&tbnid=NHFRVspjd-vZrM:&zoom=1&tbnh=186&tbnw=186&usg=__sOrTVeIoKl48_TodEan8dIx7UGk=&docid=D09vYD7H2hKF-M&itg=1&sa=X&ei=f5RBU_fIOvLTsAT74ICACw&ved=0CK0BEPwdMAo

use this

Answer 18

^^ look at that image
3pi/2 takes u to negative y axis

Answer 19

so it is equal to -1? or 0?

Answer 20

i think its 0

Answer 21

btw thank u @myininaya

Answer 22

yes ! on unit circle,
"cos" represents "x coordinate"
"sin" represents "y coordinate"

Answer 23

ok so is the answer (0,3)