Q. 33 - Precalculus Enhanced with Graphing Utilities

Question

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

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

Step-by-Step Solution

Answer

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

Step 1: Given information

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

Step 2: Compare with standard form and calculate

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

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