Chapter EP, Problem 13.7.6EP

To determine

To Find: The amplitude and the period of the function and then graph for the function.

Answer to Problem 13.7.6EP

The amplitude of the function is $1$ and the period is $360°$ . The graph is shown in Figure 1

Explanation of Solution

Given:

The given function is,

$y=2\csc \theta$

Calculation:

Consider the given function is,

$y=2\csc \theta$

Consider the equation $y=a\sin b\theta$ and $y=a\cos b\theta$ . For these function the amplitude is $a$ and the period is $\frac{360°}{\left|b\right|}$

The amplitude of the function is,

$a=2$

The period of the given function is,

$\frac{360°}{\left|1\right|}=360°$

The graph of the function is shown in Figure 1

Figure 1