SOLUTION: I need some help figuring out the steps to solve this problem.
Find, to the nearest degree, the acute angle of rotation x that eliminates the xy term of -3x^2 + 3xy + 5y^2 - x +
Algebra ->
Trigonometry-basics
-> SOLUTION: I need some help figuring out the steps to solve this problem.
Find, to the nearest degree, the acute angle of rotation x that eliminates the xy term of -3x^2 + 3xy + 5y^2 - x +
Log On
Question 860523: I need some help figuring out the steps to solve this problem.
Find, to the nearest degree, the acute angle of rotation x that eliminates the xy term of -3x^2 + 3xy + 5y^2 - x + 2y - 6 = 0.
a-41 degrees
b-80
c-81
d-40
Thank you for your help! Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Find, to the nearest degree, the acute angle of rotation x that eliminates the xy term of -3x^2 + 3xy + 5y^2 - x + 2y - 6 = 0.
Form: Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0
-----
cot(2t) = (A-C)/B
cot(2t) = (-3-5)/3 = -8/3
tan(2t) = -3/8
2t = arctan(-5/8) = 170.56
t = 85.28 degrees
--------------------------------
Cheers,
Stan H.
(