Question

Precal Help!

Answer 1

Pick out the polar coordinate pairs that label the same point. Several pairs may be possible:
a. (3,0) b. (-3,0) c. (-3,pi) d. (2,7pi/3)
e. (2,2pi/3) f. (2,-pi/3) g. (-3,2pi) h. (-2,-pi/3)

Answer 2

So remember to convert to polar

\[\large r = \sqrt{x^2 + y^2}\]
and
\[\large \theta = \tan^{-1}\frac{y}{x}\]

Answer 3

So I plug every one of those into both equations then what?

Answer 4

@johnweldon1993

Answer 5

@jdoe0001 @kidrah69

Answer 6

well... one thing to bear in mind is that, the "r" could be negative or positive
for the same coordinate

so 3,0 and -3,0 are pretty much the same coordinate

Answer 7

now.... \(-3,2\pi\) if you go around by \(2\pi\) you'd land right back at 0
so, that's another matching one
same "r" and same "angle"

Answer 8

well.. not the same angle, but the same coordinate

Answer 9

and I see one more pair only there

Answer 10

Then the last pair is f. (2,-pi/3) and h. (-2,-pi/3)?

Answer 11

@jdoe0001