Thursday, May 15, 2014

No. 46

Ax²+Bxy+Cy²+Dx+Ey+F=0 A’(x’)²+C’(y’)²+D’x’+E’y’+F’=0 cos2θ=A-C/B   x=x’cosθ-y’sinθ   y=x’sinθ+y’cosθ

Steps to Rotate a Conic:
1. Find the angle using the 3rd equation above
2. Plug angle measure from unit circle into last 2 equations to get new x’ and y’
3. Plug back into the original equation and make sure the xy-term cancels out
  
Credit by Alec Ainger

No comments:

Post a Comment