Back to 9.5 Solving Trigonometric Equations

9.5 Exercise 212

Avg difficulty 2.5

Prove the identity.

Two frequencies of sound are played on an instrument governed by the equation n(t)=8cos(20πt)cos(1000πt). n \left(t\right) = 8 \cos \left(20 \pi t\right) \cos \left(1000 \pi t\right) . What are the period and frequency of the “fast” and “slow” oscillations? What is the amplitude?

OpenStax Algebra and Trigonometry 2e, 9.5 Solving Trigonometric Equations, exercise 212

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.