What is the period of $f (t) = sin (\frac{t}{30}) + cos (\frac{t}{4})$ $f(t)=sin( t / 30 )+ cos( (t)/ 4)$ ?

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What is the period of $f (t) = sin (\frac{t}{30}) + cos (\frac{t}{4})$ $f(t)=sin( t / 30 )+ cos( (t)/ 4)$ ?

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Answer 1 · 2017-01-03T01:17:02

$120 π$ $120pi$

Explanation:

Period of sin (t/30) --> $30 (2 π) = 60 π$ $30(2pi) = 60pi$
Period of cos (t/4) --> 4(2pi) = 8p
Least common multiple of $60 π and 8 π$ $60pi and 8pi$ is --> $120 π$ $120pi$
Period of f(t) --> $120 π$ $120pi$

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What is the period of $f (t) = sin (\frac{t}{30}) + cos (\frac{t}{4})$ $f(t)=sin( t / 30 )+ cos( (t)/ 4)$ ?

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