What is the period of $f (t) = cos (\frac{5 t}{3})$ $f(t)=cos ( ( 5 t ) / 3 )$ ?

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Answer 1 · 2015-12-17T03:20:01

period $= 216^{\circ}$ $=216^@$

The period of a sinusoidal function can be calculated with the formula:

period $= \frac{360^{\circ}}{| k |}$ $=360^@/|k|$

In this case, since $k = \frac{5}{3}$ $k=5/3$ , we can substitute this value into the following equation to find the period:

period $= \frac{360^{\circ}}{| k |}$ $=360^@/|k|$

period $= \frac{360^{\circ}}{∣ ∣ \frac{5}{3} ∣ ∣}$ $=360^@/|5/3|$

period $= 216^{\circ}$ $=216^@$

$:.$ , the period is $216^@$ .

What is the period of f(t)=cos ( ( 5 t ) / 3 ) f(t)=cos(5t3)f(t)=cos ( ( 5 t ) / 3 ) ?