What is the frequency of $f (θ) = sin 24 t - cos 54 t$ $f(theta)= sin 24 t - cos 54 t$ ?

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What is the frequency of $f (θ) = sin 24 t - cos 54 t$ $f(theta)= sin 24 t - cos 54 t$ ?

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Answer 1 · 2016-11-11T22:05:05

$π$ $pi$

Explanation:

Frequency of $sin 24 t - \to \frac{2 π}{24} = \frac{π}{12}$ $sin 24t --> (2pi)/24 = pi/12$
Frequency of $cos 54 t - \to \frac{2 π}{54} = \frac{π}{27}$ $cos 54t --> (2pi)/54 = pi/27$
Find least common multiple of $\frac{π}{12} and \frac{π}{27}$ $pi/12 and pi/27$

$pi/12 ... X ...(12)... --> pi$
$pi/27 ... X ...(27)... --> pi$

Frequency of f(t) --> $pi$

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What is the frequency of $f (θ) = sin 24 t - cos 54 t$ $f(theta)= sin 24 t - cos 54 t$ ?

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Explanation:

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What is the frequency of f(theta)= sin 24 t - cos 54 t f(θ)=sin24t−cos54tf(theta)= sin 24 t - cos 54 t ?

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What is the frequency of $f (θ) = sin 24 t - cos 54 t$ $f(theta)= sin 24 t - cos 54 t$ ?