Which set of polar coordinates describes the same location as the rectangular coordinates (1, -1)?

Please explain. Thank you!

Question

Which set of polar coordinates describes the same location as the rectangular coordinates (1, -1)?

Please explain. Thank you!

kj4uts · Answer

attachment

misty1212 · Answer

HI!!

misty1212 · Answer

do you know where the point lies?

kj4uts · Answer

Hey, let me see im this is a new concept for me today.

misty1212 · Answer

not the polar form, just where the point $(1,-1)$ lies in the plane
like on graph paper

kj4uts · Answer

yeah I know where (1, -1) lies on graph paper

misty1212 · Answer

ok that should give you a good indication of what angle will get  you there
that is the second number
the first number is the distance between $(0,0)$ and $(1,-1)$ for which you use pythagoras or the distance formula or just 
$$\sqrt{a^2+b^2}$$

misty1212 · Answer

so forget options c and d, that distance is pretty clearly $\sqrt2$

kj4uts · Answer

http://www.wolframalpha.com/input/?i=%281%2C+-1%29

misty1212 · Answer

wolfram is not helping your cause here
all you need is the angle

kj4uts · Answer

oh no I just put that to show that I know where (1, -1) is lol

misty1212 · Answer

|dw:1426469183920:dw|

misty1212 · Answer

i believed you

kj4uts · Answer

@misty1212 how do I find the angle?

misty1212 · Answer

look with your eyeballs dear

kj4uts · Answer

45 degrees?

misty1212 · Answer

|dw:1426469415360:dw|

misty1212 · Answer

no not 45 degrees you have to go around the other way

misty1212 · Answer

you could use $-45^\circ$ but that is not one of your options

kj4uts · Answer

so what do I do then?

misty1212 · Answer

i bet you can figure it out
hint, how many degrees in a circle?

misty1212 · Answer

did you get it yet?

kj4uts · Answer

360

misty1212 · Answer

yeah so do $360-45$ to get your answer

kj4uts · Answer

Oh B.

kj4uts · Answer

Thank you!

misty1212 · Answer

$$\color\magenta\heartsuit$$