Answer
See explanations.
Work Step by Step
Use the original equation
$Ax^2+Bxy+Cy^2+Dx+Ey+F=0$
to identify the values of $A,B,C$. The angle of rotation $\theta$ then satisfies:
$cot(2\theta)=\frac{A-C}{B}$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 9 - Section 9.4 - Rotation of Axes - Exercise Set - Page 1010: 42
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
