Question

Find the rectangular coordinates of the point with the polar coordinates (8, 3 divided by 2 pi).

Answer 1

i really hope it is \((8,\frac{2\pi}{3})\) and not what you wrote

Answer 2

not "3 divided by 2 pi" but rather "2 pi divided by 3"
am i right?

Answer 3

noooo im sorry but its \[(8,\frac{ 3 }{ 2 }\pi)\]

Answer 4

ok that works too, 3 pi divided by 2

Answer 5

it is always true that \((r,\theta)\) has rectangular form \(x=r\cos(\theta), y = r\sin(\theta)\)
in your case it will be
\[x=8\cos(\frac{3\pi}{2}),y=8\sin(\frac{3\pi}{2})\]
do you know how to evaluate those?

Answer 6

no .-.

Answer 7

do you know \(\cos(\frac{3\pi}{2})\)? if the answer is "no" i will show you how to find it

Answer 8

can you show me :D

Answer 9

find \(\frac{3\pi}{2}\) on the unit circle on the last page of the attached cheat sheet
then look at the coordinates
the first coordinate is cosine, the second coordinate is sine

Answer 10

let me know when you see it and what you get

Answer 11

so 270degrees
so its 0,-1?

Answer 12

yes

Answer 13

so could the answer be 0,-8

Answer 14

that means \(x=8\times 0=0\) and \(y=8\times -1=-8\) so your point is \((0,-8)\)

Answer 15

yes

Answer 16

i beat you to it c: can i ask so more questions and tag you in them?

Answer 17

yes