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Solving an equation with cosine of a multiple angle

2,321 views · Published 28 January 2013 · 3:49 · Indexed 24 September 2026

Channel: Brian McLogan · 2013 · Education

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👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given equation. Simpler trigonometric equations involving one trigonometric function can simply be solved by inverse operations. 

When solving a trigonometric equation it is usually useful to identify which method best evaluates the given equation and apply the method. Because trigonometric functions are sinusoidal in nature (continuous and repetitive), a trigonometric equation may contain many solutions depending on the domain of consideration.

When the trigonometric equation involves multiple angles, the trigonometric equation is evaluated first, and then the multiple of the angle is then divided through the obtained answer.

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