Rotate the axes to eliminate the xy-term in the equation. Then write the equation in standard form. (Use xp for x' and yp for y' in your answer. Rotate the coordinate axes through an angle 6 with 0 ses R/2.) xy +3 -0 xy =-3 Sketch the graph of the resulting equation, showing both sets of axes. y

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.5: Rotation Of Conics
Problem 2ECP
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Rotate the axes to eliminate the xy-term in the equation. Then write the equation in standard form. (Use xp for x' and yp for y' in your answer. Rotate the coordinate axes through an angle
0 with 0 s 0 S/2.)
xy + 3 = 0
xy = -3
Sketch the graph of the resulting equation, showing both sets of axes.
y
10H
y
10F
19
xp
Transcribed Image Text:Rotate the axes to eliminate the xy-term in the equation. Then write the equation in standard form. (Use xp for x' and yp for y' in your answer. Rotate the coordinate axes through an angle 0 with 0 s 0 S/2.) xy + 3 = 0 xy = -3 Sketch the graph of the resulting equation, showing both sets of axes. y 10H y 10F 19 xp
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