Question

Draw the graph of the following function: 2 sin 2x. Also write its range and period.​

Answer 1

Answer:

let me explain from basics

sin(x) has a period of 2π.

Its range is from [-1,1]

so the desired graph is

but the graph of sin(2x) will have the period of π,and its range is same as that of previous ie. [-1,1].

It is important to note that sin(nx) has a period of (2π/n).

now the graph of sin(2x) will look like this

but we have to draw the graph of 2sin(2x) .Its period will be π but its range will be [-2,2]

It is important to note that nsin(x) has range [-n,n]

now the graph of 2sin(2x) will be

Step-by-step explanation: