## Trigonometry (11th Edition) Clone

In the standard equation $y=a \sin bx$, $a$ is the amplitude while $b$ can be used to find the period. In the equation $y=4 \sin 2x$, $a=4$ while $b=2$. Since $a=4$, this means that the amplitude is 4. Now we use $b$ to find the period using the formula: Step 1: Period$=\frac{2\pi}{b}$ Step 2: Period$=\frac{2\pi}{2}$ Step 3: Period$=\pi$ Therefore, we know that the amplitude is 4 while the period is $\pi$. This means that Option B is true.