Chapter 4, Problem 13CT

To determine

To graph: sketch the graph of the trigonometric function .

Explanation of Solution

Given information:

Given function is f(a)= $\frac{1}{2}\tan 2$ a

Graph:

The graph provided below is of $\frac{1}{2}\tan 2$ a.

The graph is plotted in real number line x axis and y axis.

  

Interpretation:

The following of information of graph sketched above is provided below:-

Since the graph of $\tan$ a is

  

If we multiply the angle a by 2 ,then graph will shrink from its original position.,

The graph of $\tan 2$ a is provided below:-

  

Again if we divide the $\tan 2$ a by 2,then the graph will expand to the previous position,then the equation will become f(a)= $\frac{1}{2}\tan 2$ a which is the required equation ,then the graph will be provided as below :-

So the provided graph is given below