Question

In Problems 33 and 34 , determine the amplitude and period of each function without graphing.

$y=\sin \left(2x\right)$

Short answer

The amplitude and time period is $1,\mathrm{\pi }$respectively

Step-by-step solution

Given information

Given function$y=\sin \left(2x\right)$

Compare with standard form and calculate 

Comparing with $y=A\sin bx$, we get

$$\begin{gathered} A=1 \\ T=\frac{2\mathrm{\pi }}{2} \\ T=\mathrm{\pi } \end{gathered}$$