Question

PLEASE HELP!!!! MEDAL WILL BE REWARDED!!!
Find the rectangular coordinates of the point with the polar coordinates (-7, 5pi/3)

I keep getting (-6.97081,-0.63882) but i need the answer in fraction form...

Answer 1

decimal to fraction
-6.97081 = 697081/100000
now if there is any common factor of numerator and denominator in the fraction divide with it to get the simplified fraction
that`s it

Answer 2

It gives me such a high fraction though and i know thats not the answer! I want to say it (7/2, -7/2) but im not sure....

Answer 3

no the answer should be
x = -7 * cos(300 degree) or -7 * cos(5 pi/3)
y = -7 * sin(300 degree) or -7 * sin(5 pi/3)

Answer 4

\[(-7\cos(\frac{5\pi}{3}), -7\sin(\frac{5\pi}{3}))\]

Answer 5

Those arnt the answers, i only havve 4 choices, here they are
(-7/2, 7/2)
(7/2, -7/2)
(7(radical3)/2, -7/2)
(-7/2, 7(radical3)/2)

Answer 6

i know they aren't the answers
that is the way you find the answers however
your job is to find \(\cos(\frac{5\pi}{3})\) and \(\sin(\frac{5\pi}{3})\) and then multiply the result by \(-7\)

Answer 7

well we want that you put the values of sin300 and cos300 to get the answers

Answer 8

forget degrees, this problem has nothing to do with degrees

Answer 9

ohh okay, hold on...i get the third answer on that list...is that correct? or am i still messing up!?

Answer 10

i think 4th should be correct
tell us the values you found out for sin(5pi/3) and cos(5pi/3)

Answer 11

\(\cos(\frac{5\pi}{3})=\frac{1}{2}\)

Answer 12

Ohhh okay, i see how to work the problem now. I wasnt typing in my values right. I was doing them opposite from what it was asking, so yes it is the 4th answer im pretty sure