Question

Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°.

Answer 1

@ganeshie8 can you check to see if my answer is right, I got\[(5\sqrt2,315),(-5,\sqrt2,135)\]

Answer 2

Looks good !

Answer 3

Ok thanks, do you have time to help me with one other problem?

Answer 4

post..

Answer 5

It's kind of similar, Find all polar coordinates of point P = (6, 31°).

Answer 6

any guess ?

Answer 7

One key thing to keep in mind is that adding 360 to the angle takes you to the same point

Answer 8

Ok one sec, (6,31 degree) is already polar so you would just be using that as the referenece angle right?

Answer 9

Yes, keep going..

Answer 10

I dont really get what im doing with this, do you just say something like (6,31degree)+360npi and (-6,31degree)+360npi

Answer 11

ive had a hard time with this whole chapter

Answer 12

I see.. you're mixing up 360 and 2pi

Answer 13

You want polar representations yeah? \[(r, \theta) = (r, \theta+2 \pi n)~~~\text{and}~~~(-r, \theta+(2n+1) \pi) \]

Answer 14

360 degrees = 2pi radians

they are same

Answer 15

they refer to the same angle

Answer 16

so (6,31degree +2 pi n) and -6,31degree 2pi n, did i have it right or am i doing something wrong?

Answer 17

again, you're mixing up degrees and radians

Answer 18

Lets stick to degrees maybe..


(6, 31) = (-6, 31+180)

Answer 19

just append 360n to the angles to get all the representations

Answer 20

So what would be the whole answer be, i think im over complicating this for myself (6,31 + 180) +360n and (-6,31 + 180) + 360n? sorry if im still wrong..

Answer 21

what do you mean by `(6,31 + 180) +360n` ?

Answer 22

i have no clue im just confused with this

Answer 23

polar coordinates are indeed confusing, only in the start

Answer 24

they will be easy if you know one trick

Answer 25

and what would that be

Answer 26

Can you plot the point (6, 31) ?

Answer 27

hard to tell without number points but up there somewhere

Answer 28

what are 6 and 31 here ?

Answer 29

6 = x and 31 = y, what do you mean?

Answer 30

Completely wrong.

Answer 31

6 is the distance between "point" and the "origin" :

Answer 32

31 degrees,
this is the angle remember ?

Answer 33

now tell me, 31 degrees is the angle between what ?

Answer 34

honestly im stuck, i see what youre talking about with 6 but my lesson doesnt really explain what anything is either

Answer 35

it says something about the origian and then the other point being the polar axis

Answer 36

Can you show me "positive part of the x axis" in above diagram ?

Answer 37

i hope this isnt a trick question and have it wrong too