Question

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

Answer 1

`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`