How do you convert $(−2, −9)$ to polar form?

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Answer 1 · 2018-07-19T12:43:02

Polar coordinates $color(magenta)((9.2195, 257.47^@)$

$(x, y) = (-2, -9)$

$r = sqrt (x^2 + y^2) = (-2^2 + -9^2) = 9.2195$

$tan theta = (-9/-2) = 4.5$

$theta = arctan 4.5 = 1.3521^c 77.47^@$

Since x and y are negative, it’s in III Quadrant and $theta = 180 + 77.47^@ = 257.47^@ = 4.4937^c$

How do you convert (−2, −9) (−2, −9) to polar form?