Answer:
Maximum value of the function is 4.
Step-by-step explanation:
Given function of simple harmonic motion is [tex]d=4\sin\left(\frac{\pi}{8}t\right)[/tex].
Now we need to find about what is the maximum value of [tex]d=4\sin\left(\frac{\pi}{8}t\right)[/tex].
We know that value of sine function varies from -1 to 1.
that means for any value of t, maximum value of sine function is 1.
[tex]\sin\left(\frac{\pi}{8}t\right) \leq 1[/tex]
[tex]4 \sin\left(\frac{\pi}{8}t\right) \leq 4[/tex]
[tex]d \leq 4[/tex]
Hence maximum value of the function is 4.
