Question

Find the rectangular coordinates of the point with the polar coordinates ordered pair negative 3 comma 5 pi divided by 3
for my answer I keep getting -3, -1

Answer 1

but these are my choices
ordered pair negative 3 divided by 2 comma 3 divided by 2

ordered pair 3 square root 3 divided by 2 comma negative 3 divided by 2

ordered pair negative 3 divided by 2 comma 3 square root 3 divided by 2

ordered pair 3 divided by 2 comma negative 3 divided by 2

Answer 2

\((r, \theta ) = (x, y) \)

\( x = r \cos \theta \)
\( y = r \sin \theta \)

Since your \(\theta\) is \( \dfrac{5 \pi}{3} \), set your calculator to radians before taking the sine and cosine.

Answer 3

si is it this ordered pair 3 square root 3 divided by 2 comma negative 3 divided by 2

Answer 4

@mathstudent55

Answer 5

\(\left(3 \cos \dfrac{5 \pi}{3}, 3 \sin{\dfrac{5 \pi}{3}} \right)\)

\( \left( 3 \times \dfrac{1}{2} , 3 \times \left(\dfrac{-\sqrt{3}}{2}\right) \right) \)

\( \left( \dfrac{3}{2} , - \dfrac{3\sqrt{3}}{2}\right) \)

Answer 6

If r = -3 in the problem, the answer above with signs switched: x negative and y positive.

Answer 7

@ranga You are correct, the 3 in the problem is actually -3, so just take the negative of the x- and y-coordinates I calculated.
@llkramer In the future, write numbers as numbers. Don't write "negative three." Instead, write "-3." It's much easier to read.

Answer 8

quick question I get this now thank you :) but for some reason when I logged on open study it doesn't allow me too see the equation input system. you guys know anything about that?

Answer 9

The equation editor shows on the left bottom of the reply area.

Answer 10

I know I can use it but when I post them or someone else post them its in form like this sqrt5/pie2lim2^2

Answer 11

Then your browser is not displaying equations properly. That has happened to me. Somtimes by closing open study and starting it again, it displays the equations properly again.

Answer 12

You're cute