Polar coordinates?

Question

Which of the following is NOT the same point in polar coordinates as (3, -1.236)?
(-3, 1.906)
(3, -7.518)
(3, 5.047)
(-3, 1.236)

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Answer 1 · 2018-01-30T03:12:45

All the three are different from (-3, 1.236)

r = sqrt(x^y + y^2), theta = tan ^(-1) (y/x)

Polar coordinates for
1. (-3, 1.906)

$r = sqrt((-3)^2 + (1.906)^2) ~~ 3.5543$

$theta = tan (-1) (1.906/-3) ~~ -43.4292^0$

$r = sqrt((3)^2 + (-7.518)^2) ~~ 8.0945$

$theta = tan (-1) (-7.518/3) ~~ --68.2459^0$

$r = sqrt((3)^2 + (5.047^2) ~~ 5.8713$

$theta = tan (-1) (5.047/3) ~~ -59.2722^0$

$r = sqrt((-3)^2 + (1.236)^2) ~~ 3.2446$

$theta = tan (-1) (1.236/-3) ~~ -22.3917^0$

All the three are different from (-3, 1.236)