Explanation Given: The given trigonometric equation is cos 4 θ + cos 2 θ = 0 . Calculation: The given trigonometric equation is, cos 4 θ + cos 2 θ = 0 cos 2 θ + 2 cos 2 2 θ − 1 = 0 ( ∵ cos 4 θ = 2 cos 2 2 θ − 1 ) ( cos 2 θ + 1 ) ( 2 cos 2 θ − 1 ) = 0 Put each factor equal to zero to find the values of θ . ( cos 2 θ + 1 ) = 0 cos 2 θ = − 1 cos 2 θ = cos ( 2 k + 1 ) π 2 θ = ( 2 k + 1 ) π θ = ( 2 k + 1 2 ) π θ = π 2 , 3 π 2 Here, k is any integer

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

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Chapter 1.4, Problem 45E

To determine

To solve:

cos4θ+cos2θ=0 for x∈[0,2π).

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Chapter 1.4, Problem 44E

Chapter 1.4, Problem 46E

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Chapter 1 Solutions

Calculus - Standalone book

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cos 4 θ + cos 2 θ = 0 for x ∈ [ 0 , 2 π ) .

Solution Summary: The author calculates the trigonometric equation mathrmcos4theta +.

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To solve:

cos4θ+cos2θ=0 for x∈[0,2π).

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Chapter 1 Solutions

cos 4 θ + cos 2 θ = 0 for x ∈ [ 0 , 2 π ) .

Solution Summary: The author calculates the trigonometric equation mathrmcos4theta +.

Concept explainers

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To solve: cos4θ+cos2θ=0 for x∈[0,2π).

Want to see the full answer?

Chapter 1 Solutions

To solve:

cos4θ+cos2θ=0 for x∈[0,2π).