Rectangular coordinate=(-4,-8)
it means x=-4 and y=-8
now for polar coordinate
r=√(x^2+y^2)=√[(-4)^2+(-8)^2]=√(16+64)=√80=8.94
and tan(theta)=y/x=-8/-4=2
theta=arctan (2)=63.43°
also, tan is positive in third quadrant
so, theta=180°+63.43°=243.43°
and our point is in third quadrant also, therefore correct angle is 243.43°
hence, polar coordinates of the given rectangular coordinate (-4,-8) is (8.94,243.43°)
Write the rectangular point (-4,-8) in polar coordinates. Give your answer to two decimal places.
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