SOLUTION: rotation of Axes Question(PRE-CAL) 32x^2-48xy+18y^2-15x-20y=0
A. rewrite the equation in a rotated x^1y^1 system w/o an x^1y^1 term. USe the appropriate rotation formulas
B ex
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Question 869933: rotation of Axes Question(PRE-CAL) 32x^2-48xy+18y^2-15x-20y=0
A. rewrite the equation in a rotated x^1y^1 system w/o an x^1y^1 term. USe the appropriate rotation formulas
B express the equation involving x^1 and y^1 in the standard form of conics section
C Use the rotated system to graph the equation
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
rotation of Axes Question(PRE-CAL) 32x^2-48xy+18y^2-15x-20y=0
A. rewrite the equation in a rotated x^1y^1 system w/o an x^1y^1 term. USe the appropriate rotation formulas
tan(2t) = B/(A-C) = -48/(32-18) = 48/14 = 24/7
2t = arctan(24/7) = 73.74 degrees
t = 36.87
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x = x'*cos(73.74)-y'*sin(73.74)
y = x'(sin(73.74)-y'cos(73.74)
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Use those to rotate the ellipse.
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B express the equation involving x^1 and y^1 in the standard form of conics section
I'll leave that to you.
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C Use the rotated system to graph the equation
And that.
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Cheers,
Stan H.
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