Geo5.4.9

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Find the equation of the line joining the points $(2,\frac{\pi}{6}),(3,\frac{\pi}{3})\,$

Equation of the line PQ is

$r[2\sin(\theta-\frac{\pi}{6})-3\sin(\theta-\frac{\pi}{3})]+(2)(3)\sin (\frac{\pi}{6}-\frac{\pi}{3})=0\,$

$r[2(\frac{\sqrt{3}}{2}\sin\theta-\frac{1}{2}\cos\theta)-3(\frac{1}{2}\sin\theta-\frac{\sqrt{3}}{2}\cos\theta)]-6\sin 30=0\,$

$r[(2\sqrt{3}-3)\sin\theta+(3\sqrt{3}-2)\cos\theta]-6=0\,$

Main Page:Geometry:Polar Coordinates

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