Explanation Given information: The given conic equation is 2 x 2 + 3 x y + y 2 − 10 = 0 . Concept used: Eliminating an xy -term by rotation of axes To transform the second-degree equation A x 2 + B x y + C y 2 + D x + E y + F = 0 to an equation of the form A ' x ' 2 + C ' y ' 2 + D ' x ' + E ' y ' + F ' = 0 without x’y’ -term, rotate the axes through an acute angle θ , where cot 2 θ = A − C B . Calculation Used: Compare the given equation 2 x 2 + 3 x y + y 2 − 10 = 0 with the equation A x 2 + B x y + C y 2 + D x + E y + F = 0 , we get A = 2 , B = 3 , C = 1 , D = 0 ,

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ISBN: 9780321825391

Author: Ratti

Publisher: PEARSON

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Chapter 8.5, Problem 29E

To determine

To calculate:

The value of cosθ and sinθ such that the given equation 2x2+3xy+y2−10=0 rotation through the acute angle θ results in a new equation with no x'y' -term.

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Chapter 8.5, Problem 28E

Chapter 8.5, Problem 30E

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Chapter 8 Solutions

Precalculus: A Unit Circle Approach

Ch. 8.2 - Prob. 1E Ch. 8.2 - Prob. 2E Ch. 8.2 - Prob. 3E Ch. 8.2 - Prob. 4E Ch. 8.2 - Prob. 5E Ch. 8.2 - Prob. 6E Ch. 8.2 - Prob. 7E Ch. 8.2 - Prob. 8E Ch. 8.2 - Prob. 9E Ch. 8.2 - Prob. 10E

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The value of cos θ and sin θ such that the given equation 2 x 2 + 3 x y + y 2 − 10 = 0 rotation through the acute angle θ results in a new equation with no x ' y ' -term.

Solution Summary: The author compares the given conic equation mathrmcostheta with Ax2+sqrt

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To calculate:

The value of cosθ and sinθ such that the given equation 2x2+3xy+y2−10=0 rotation through the acute angle θ results in a new equation with no x'y' -term.

Want to see the full answer?

Chapter 8 Solutions

The value of cos θ and sin θ such that the given equation 2 x 2 + 3 x y + y 2 − 10 = 0 rotation through the acute angle θ results in a new equation with no x ' y ' -term.

Solution Summary: The author compares the given conic equation mathrmcostheta with Ax2+sqrt

Videos

To calculate: The value of cosθ and sinθ such that the given equation 2x2+3xy+y2−10=0 rotation through the acute angle θ results in a new equation with no x'y' -term.

Want to see the full answer?

Chapter 8 Solutions

To calculate:

The value of cosθ and sinθ such that the given equation 2x2+3xy+y2−10=0 rotation through the acute angle θ results in a new equation with no x'y' -term.