Question

Draw the graph of the following functions: 

2cos 3x

Answer 1

To draw the graph of the curve 2cos(3x) assume some standard angle measures which will help in locating the points and drawing the curve.

x	π/6	π/3	π/2	π	3π/2	2π
2cos(3x)	0	-2	0	-2	0	2

Therefore, the graph of curve 2cos(3x) can be drawn as

Here, the amplitude and frequency of the function cos(x) is increased by 2 and 3 times respectively.