# How do you graph #y=4csc2x#?

##### 1 Answer

Please see the explanation.

#### Explanation:

**Given:**

How to draw a **graph** for this trigonometric function?

Note that **base function**.

Observe that

Analyze the graph below:

Note that the function

The function

For both the functions **Period**

Graph of the function **maximum** or a **minimum** value, there is

If values of **point by point** what the values of

The function **goes to infinity periodically** and is **symmetric with the origin**.

At values of **undefined**.

The **x-intercept** of **asymptotes** of

Next, consider the given trigonometric function:

Use the form:

**A Csc(BX - C) + D**.

The variables used gives us the **Amplitude** and **Period**.

**Amplitude = None**

**Period**

**Vertical Shift = D = 0**

**Frequency**

To draw the graph, we can select a few points as shown below:

**Vertical Asymptotes**.

**Vertical Asymptote = ****n** is an integer.

Graph of

**x-intercepts and y-intercepts = None**