What is the period of f(t)=sin(4t)+cos(24t)

Alessandra Cummings 2022-10-17 Answered
What is the period of f ( t ) = sin ( 4 t ) + cos ( 24 t )?
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Answers (1)

exalantaswo
Answered 2022-10-18 Author has 14 answers
The period of both sin k t and cos k t is 2 π k . So,
the period P 1 of cos 24 t is π 12 and
the period P 2 of sin 4 t = π 2 = 6 P 1 . And so,
the period of the compounded oscillation
f ( t ) = sin 4 t + cos 24 t,
P = P 2 = π 2 = 6 P 1
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