Question

Find all polar coordinates of point P where P = (4,-pi/3)

Answer 1

@VeritasVosLiberabit plz help

Answer 2

sure, let me type an explanation for you

Answer 3

Here are the choices if you need them

Answer 4

\[(r,\theta)\] is polar coordinate form
\[r=\frac{ x }{ \cos (\theta) }=\frac{ y }{ \sin(\theta) }\]
\[\theta=\tan ^{-1}(\frac{ y }{ x })\]

Answer 5

oh ok what's next?

Answer 6

plug the coordinates you are given \[(4,-\frac{ \pi }{ 3 })\]
and solve for both \[(r,\theta)\]
with the equations I've given you

Answer 7

you have two different options with r which should give you the same answer

Answer 8

how do i solve for r,theta though? can u show me?

Answer 9

do you see the equations I wrote above. Use them to solve for both

Answer 10

ohhhh alright 1 second

Answer 11

You simply plug in the x and y values and you will have r and theta

Answer 12

i don't think my answer is right

Answer 13

r=4sec(theta)=-1/3picsc(theta)

Answer 14

Tell me what you have for r, I didn't realize the answer also wanted all values of theta

Answer 15

Ah I think I may have confused you. You can just use 1 equation for r. Either the one with sin or the one with cos

Answer 16

what value did you get for theta?

Answer 17

1 second

Answer 18

hey @ButIneedHelp I'm sorry
forget everything I said. The original problem is already in polar

Answer 19

oh ok so what do we do?

Answer 20

Let me look back at the problem I didn't realize it was polar coordinates

Answer 21

Alright thank you

Answer 22

They basically are looking to see all possible values the line can take so the only thing that you need to find is all the possibilities the angle can be

Answer 23

Can you show me how to do that?

Answer 24

sure for one it is best just to look straight at the answers given in this one

Answer 25

I have a feeling the answer is d, is it?

Answer 26

we know that the point \[(4,-\frac{ \pi }{ 3 })=(4,-\frac{ \pi }{ 3 }+2n \pi)\]

Answer 27

No not d

Answer 28

oh ok damn

Answer 29

So its either a or c?

Answer 30

yes

Answer 31

Any angle + 2(pi)n will go back to the same position where n is an integer value

Answer 32

So it's a?

Answer 33

yes how did you know or is that a guess?

Answer 34

I guessed to be honest, because the other options have the same beginning to the second parenthesis

Answer 35

Can you help me with a few more? I'mi almost done

Answer 36

ok well it is a because if you notice the line has is located where x is -4 now

Answer 37

it adds 3 pi to get back to the original spot this is hard to explain without a picture

Answer 38

Make a new thread and I will help you sure