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