Question

Which set of polar coordinates describes the same location as the rectangular coordinates (-3,3)

Answer 1

"which set..." implies there is a choice....

Answer 2

Hints:

r = sqrt(x^2+y^2)

theta = arctan(y/x)

Answer 3

A) (3,45degrees)
B) (3 squareroot 2, 315 degrees)
C) (3 squareroot 2, 135 degrees)
D) (3 squareroot 2, 225 degrees)

Answer 4

the relation between polar coordinate n cartesian coordinate is\[r=\sqrt{x ^{2}+y ^{2}}\]

Answer 5

thank you :) i just needed to know to do it

Answer 6

and\[\tan \theta =\frac{ y }{ x }\]

Answer 7

there is only one choice there that matches...
think of WHERE (-3, 3) is... what angle does that correspond to?

Answer 8

wow i was overthinking it, thanks

Answer 9

Is that right @jim_thompson5910

Answer 10

nm

Answer 11

its late

Answer 12

r = sqrt(x^2 + y^2)

r = sqrt((-3)^2 + (3)^2)

r = sqrt((3)^2 + (3)^2)

r = sqrt(2(3)^2)

r = sqrt(3^2)*sqrt(2)

r = 3*sqrt(2)

Answer 13

theta = arctan(y/x)

theta = arctan(3/(-3))

theta = arctan(-1)

theta = -45 degrees

theta = 315 degrees

Answer 14

thank you guys i got it