determine the period of the function. f(t)=2.3cos0.25t a. period: 0.25π b. period: 2π c. period: 0.5π d…
determine the period of the function. f(t)=2.3cos0.25t a. period: 0.25π b. period: 2π c. period: 0.5π d. period: 8π
Answer
Answer:
D. Period: $8\pi$
Explanation:
Step1: Recall cosine - function period formula
For $y = A\cos(Bt)$, the period $T=\frac{2\pi}{|B|}$.
Step2: Identify the value of B
In $f(t)=2.3\cos(0.25t)$, $B = 0.25$.
Step3: Calculate the period
$T=\frac{2\pi}{|0.25|}=\frac{2\pi}{\frac{1}{4}}=8\pi$.