Question

Find the rectangular coordinates of the point with the polar coordinates.

ordered pair negative 5 comma 5 pi divided by 3

Answer 1

the ordered pair is like \[(-5, 5\pi/3)\]

Answer 2

no no that is backwards!!

Answer 3

\[x=r\cos(\theta), y = r\sin(\theta)\]

Answer 4

so x=-2.5

Answer 5

because of the \(-5\) you have to go in the other direction

Answer 6

yeah i think \(-2.5\) is right

Answer 7

same as
\[5\cos(\frac{2\pi}{3})=5\times (-\frac{1}{2})=-2.5\]

Answer 8

the y values should be
\[\frac{5\sqrt3}{2}\] if i am not mistaken

Answer 9

okay cool! thats one of my answers! thank you!

Answer 10

lol i sure hope it is right!

Answer 11

my last question would be this:

Answer 12

Determine two pairs of polar coordinates for the point (3, 3) with 0° ≤ θ < 360°

Answer 13

hmm i got the question marks let me refresh

Answer 14

oh ok

Answer 15

now we have switched to degrees i see

Answer 16

pretty clear that the angle is \(45^\circ\) right?

Answer 17

\[0 degrees \le \theta \le 360degrees\]

Answer 18

im not sure, this one has me really confused

Answer 19

right 3, up 3 angle is \(45^\circ\)

Answer 20

the length is
\[\sqrt{3^2+3^2}=\sqrt{2\times 3^2}=3\sqrt2\]

Answer 21

so one answer could be
\[(3\sqrt2,45^\circ)\]

Answer 22

okay and then make the first one negative right?

Answer 23

yes if you make the angle \(125^\circ\)

Answer 24

is that a choice?

Answer 25

so \[(-3\sqrt{2}, 225)\]

Answer 26

\[(-3\sqrt2,225^\circ)\]

Answer 27

bingo!

Answer 28

\[\color\magenta\heartsuit\]

Answer 29

and i lied, i actually have one last question that i thought i understood, but i managed to confuse myself some more!