1.

Find a cartesian equation for the curve:r = 8 sin(θ) + 8 cos(θ).

Answer» The cartesian equation for the curve r = 8 sin(θ) + 8 cos(θ) is(x − 4)2+ (y − 4)2= 32.

Polar coordinates are used to represent different curves in the polar plane. Like cartesian coordinates, the polar coordinates have two parameters: the magnitude r and the phase angleθ. They are helpful in representing circular objects on the plane.



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