Question

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

Answer 1

Answer:

Answer is given below with explanations

note 23.96 is approximately equals 24

Step-by-step explanation:

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

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