Explanation Given: f ( θ ) = A cos θ + B sin θ . Calculation: For (A, B) = (1, 1), then f ( θ ) = cos θ + sin θ , where 0 ≤ θ ≤ 2 π . θ f ( θ ) = cos θ + sin θ Ordered pair 0 1 (0, 1) 1.5708 1 (1.5708, 1) 3.1416 -1 (3.1416,-1) 4.7124 -1 (4.7124, -1) 6.2831 1 (6.2831, 1) Use the table of values to plot the graph. For (A, B) = (1, 2), then f ( θ ) = cos θ + 2 sin θ , where 0 ≤ θ ≤ 2 π . θ f ( θ ) = cos θ + 2 sin θ Ordered pair 0 1 (0, 1) 1

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 1.5, Problem 19E

To determine

The sinusoidal wave for the constants (A, B) = (1, 1), (1, 2) and (3, 4) for the function f(θ)=Acosθ+Bsinθ.

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Chapter 1.5, Problem 18E

Chapter 1.5, Problem 20E

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Chapter 1 Solutions

Calculus - Standalone book

Ch. 1.1 - Prob. 1PQ Ch. 1.1 - Prob. 2PQ Ch. 1.1 - Prob. 3PQ Ch. 1.1 - Prob. 4PQ Ch. 1.1 - Prob. 5PQ Ch. 1.1 - Prob. 6PQ Ch. 1.1 - Prob. 7PQ Ch. 1.1 - Prob. 8PQ Ch. 1.1 - Prob. 9PQ Ch. 1.1 - Prob. 10PQ

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The sinusoidal wave for the constants (A, B) = (1, 1), (1, 2) and (3, 4) for the function f ( θ ) = A cos θ + B sin θ .

Solution Summary: The author explains how to determine the sinusoidal wave for the constants (A, B) by using the table of values to plot the graph.

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The sinusoidal wave for the constants (A, B) = (1, 1), (1, 2) and (3, 4) for the function f(θ)=Acosθ+Bsinθ.

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Chapter 1 Solutions