find the period and amplitude of the function. y = sin(3/4 x) give the exact values, not decimal…
find the period and amplitude of the function. y = sin(3/4 x) give the exact values, not decimal approximations. period: amplitude:
Answer
Explanation:
Step1: Recall amplitude formula
For $y = A\sin(Bx)$, amplitude is $|A|$. Here $A = 1$, so amplitude is $|1|=1$.
Step2: Recall period formula
The period of $y=\sin(Bx)$ is $\frac{2\pi}{|B|}$. Given $B=\frac{3}{4}$, then period is $\frac{2\pi}{\left|\frac{3}{4}\right|}=\frac{8\pi}{3}$.
Answer:
Period: $\frac{8\pi}{3}$ Amplitude: $1$