Question

Convert the rectangular coordinates (-9, -4) to polar coordinates

Answer 1

Answer is given below with explanations

note 23.96 is approximately equals 24

Explanation:

`here \: x = - 9 \: and \: y = - 4 \\ r = \sqrt{ {x}^(2) + {y}^(2) } \\ r = \sqrt{ { - 9}^(2) + { - 4}^(2) } \\ r = √(81 + 16) \\ r = √(97) \\ \alpha = { \tan}^( - 1) (y)/(x) \\ \alpha = tan ^( - 1) ( - 4)/( - 9) \\ \alpha = 23.96 \\ we \: know \: that \: polar \: coordinates \: is \: in \: theform \: of \: \\( r, \alpha ) \\ required \: polar \: coordinate \: \: is \: ( √(97) ,24)`

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