Find two pairs of polar coordinates for F(-5, -6)with the given rectangular coordinates.

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asked Mar 25, 2023 131k views

4 votes

Find two pairs of polar coordinates for F(-5, -6)with the given rectangular coordinates.

Mathematics
college

Joshua Cody asked

by Joshua Cody

7.2k points

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1 Answer

5 votes

$r=\sqrt[]{x^2+y^2}=\sqrt[]{-5^2-6^2}$
$r=\sqrt[]{25+36}=\sqrt[]{61}=7.81$
$\Theta=ArcTan((y)/(x))$
$\Theta=ArcTan((-6)/(-5))$
$\Theta=59.194$
$\Theta_2=50.194+180=230.194$
$\Theta=(50.194\cdot\pi)/(180)=0.876\approx0.88$
$\Theta=((230.194)\cdot\pi)/(180)=4.017\approx4.02$

Timur Fayzrakhmanov answered Mar 31, 2023