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Ch. 1 - Angles and the Trigonometric Functions
Blitzer - Trigonometry 3rd Edition
Blitzer3rd EditionTrigonometryISBN: 9780137316601Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 36

In Exercises 33–42, let sin t = a, cos t = b, and tan t = c. Write each expression in terms of a, b, and c. 3 cos(-t) - cos t

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Recall the even-odd properties of trigonometric functions: cosine is an even function, so \(\cos(-t) = \cos t\).
Substitute \(\cos(-t)\) with \(\cos t\) in the expression: \(3 \cos(-t) - \cos t\) becomes \(3 \cos t - \cos t\).
Combine like terms: \(3 \cos t - \cos t = (3 - 1) \cos t = 2 \cos t\).
Since \(\cos t = b\), rewrite the expression in terms of \(b\): \$2b$.
Thus, the expression \(3 \cos(-t) - \cos t\) simplifies to \$2b$.

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