Convert the equation of the curve x2+y2=3x2+y2−4xx^2 + y^2 = 3\sqrt{x^2 + y^2}- 4xx2+y2=3x2+y2−4x to polar coordinates.
r=3−4sinθr=3-4\sin\thetar=3−4sinθ
r=3+4sinθr=3+4\sin\thetar=3+4sinθ
r=3−4cosθr=3-4\cos\thetar=3−4cosθ
r=3+4cosθr=3+4\cos\thetar=3+4cosθ
r=3θ−4sinθr=3\theta-4\sin\thetar=3θ−4sinθ
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Practice Question
Plot the polar curves r=1+sinθr=1+\sin\thetar=1+sinθ and r=1+sin2θr=1+\sin2\thetar=1+sin2θ.
The point (1,3)(1, \sqrt{3})(1,3) in rectangular coordinates has a polar coordinate representation as well. Give a polar coordinate representation of this point where 2π≤θ<4π2 \pi \leq \theta < 4\pi2π≤θ<4π and r<0r < 0r<0 .