10-Review #49
I'm having trouble remembering how to do this one. It asks how to rotate the x-y axes to eliminate xy from x^2+xy+y^2-3y-6=0. Any help?
posted by davidhj at 7:35 PM
Blog for students in Mr. Karafiol's Period 4 Precalculus BC class to talk about math, learning math, etc.
posted by davidhj at 7:35 PM
3 Comments:
well in order to get rid of the xy in the equation
Ax^2+Bxy+Cy^2+Dx+Ey+F=0 You have to rotate theaxes therough an angle of theta, where cot(2*theta)=(A-C)/B
Do we need to know the formula cot(2*theta)=(A-C)/B ? Did we cover 10.3A about rotation?
Actually, we did not cover this to the best of my knowledge, and I too wonder if we need this. but, we probably do. I don't conceptually understand this, though.
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