Explanation Given: The provided system of equations is ( cos θ ) x + ( sin θ ) y = 1 ( − sin θ ) x + ( cos θ ) y = 0 . Calculation: Consider ( cos θ ) x + ( sin θ ) y = 1 ( − sin θ ) x + ( cos θ ) y = 0 Let ( cos θ ) x + ( sin θ ) y = 1 … ( 1 ) ( − sin θ ) x + ( cos θ ) y = 0 … ( 2 ) Solve for y in equation (2). ( − sin θ ) x + ( cos θ ) y = 0 ( cos θ ) y = ( sin θ ) x y = sin θ cos θ x Substitute y = sin θ cos θ x in (1).

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN: 9781305658004

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 1.1, Problem 77E

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The system of linear equations (cosθ)x+(sinθ)y=1(−sinθ)x+(cosθ)y=0 for x and y.

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Chapter 1.1, Problem 76E

Chapter 1.1, Problem 78E

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Elementary Linear Algebra (MindTap Course List)

Ch. 1.1 - Linear Equations. In Exercises 1-6, determine...Ch. 1.1 - Linear Equations. In Exercises 1-6, determine...Ch. 1.1 - Linear Equations. In Exercises 1-6, determine...Ch. 1.1 - Linear Equations. In Exercises 1-6, determine...Ch. 1.1 - Linear Equations. In Exercises 1-6, determine...Ch. 1.1 - Linear Equations. In Exercises 1-6, determine...Ch. 1.1 - Parametric Representation. In Exercises 7-10, find...Ch. 1.1 - Parametric Representation. In Exercises 7-10, find...Ch. 1.1 - Parametric Representation. In Exercises 7-10, find...Ch. 1.1 - Parametric Representation. In Exercises 7-10, find...

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The system of linear equations ( cos θ ) x + ( sin θ ) y = 1 ( − sin θ ) x + ( cos θ ) y = 0 for x and y .

Solution Summary: The author explains the system of linear equations rll(mathrmcos

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To solve:

The system of linear equations (cosθ)x+(sinθ)y=1(−sinθ)x+(cosθ)y=0 for x and y.

Want to see the full answer?

Chapter 1 Solutions

The system of linear equations ( cos θ ) x + ( sin θ ) y = 1 ( − sin θ ) x + ( cos θ ) y = 0 for x and y .

Solution Summary: The author explains the system of linear equations rll(mathrmcos

Videos

To solve: The system of linear equations (cosθ)x+(sinθ)y=1(−sinθ)x+(cosθ)y=0 for x and y.

Want to see the full answer?

Chapter 1 Solutions

To solve:

The system of linear equations (cosθ)x+(sinθ)y=1(−sinθ)x+(cosθ)y=0 for x and y.