Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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



Sagot :

[tex]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(-\frac{1}{2})-3\cdot(-\frac{\sqrt3}{2})\\ x'=-1+\frac{3\sqrt3}{2}\\ y'=2\cdot\sin 240+3\cdot\cos 240\\ y'=2\cdot(-\frac{\sqrt3}{2})+3\cdot(-\frac{1}{2})\\ y'=-\sqrt3-\frac{3}{2}\\\\ (-1+\frac{3\sqrt3}{2},-\sqrt3-\frac{3}{2}) [/tex]
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.