Question

Find co-ordinates of (2,3) after it is rotated 240 degrees clockwise about the origin?

Answer 1

`x'=x\cos\theta-y\sin\theta\\y'=x\sin\theta+y\cos\theta\\\\ x'=2\cdot\cos 240-3\cdot\sin240\\ x'=2\cdot(-(1)/(2))-3\cdot(-(\sqrt3)/(2))\\ x'=-1+(3\sqrt3)/(2)\\ y'=2\cdot\sin 240+3\cdot\cos 240\\ y'=2\cdot(-(\sqrt3)/(2))+3\cdot(-(1)/(2))\\ y'=-\sqrt3-(3)/(2)\\\\ (-1+(3\sqrt3)/(2),-\sqrt3-(3)/(2))`