The secant and **cosecant have** periods of length 2π, and we don’t consider **amplitude** for these curves. The cotangent **has** a period of π, and we don’t bother with the **amplitude**. If you know the behavior of the function at zero, π/2, π, 3π/2, and 2π, then you **can** fill in the rest. That’s really all you “**need**“.

**Click to see complete answer. Besides, how do you find the amplitude of a CSC?**

Since the graph of the function csc c s c does not have a maximum or minimum value, there can be no value for the **amplitude**. **Find** the period using the **formula** 2π|b| 2 π | b | . The period of the function can be calculated using 2π|b| 2 π | b | . Replace b b with 1 1 in the **formula** for period.

Subsequently, question is, what is the domain of CSC? The domain of the function y=csc(x)=1sin(x) is all real numbers except the values where sin(x) is equal to 0 , that is, the values πn for all integers n . The **range** of the function is y≤−1 or y≥1 .

**Moreover, how do you find amplitude?**

The **Amplitude** is the height from the center line to the peak (or to the trough). Or we can measure the height from highest to lowest points and divide that by 2. The Phase Shift is how far the function is shifted horizontally from the usual position.

## What does CSC graph look like?

The vertical asymptotes of cosecant drawn on the **graph** of sine. The cosecant goes down to the top of the sine curve and up to the bottom of the sine curve. After using the asymptotes and reciprocal **as** guides to sketch the cosecant curve, you **can** erase those extra lines, leaving just y = **csc** x.

How do you graph CSC?

**To graph y = csc x, follow these steps:**

- Sketch the graph of y = sin x from –4π to 4π, as shown in this figure.
- Draw the vertical asymptotes through the x-intercepts, as the following figure shows.
- Draw y = csc x between the asymptotes and down to (and up to) the sine curve, as shown in the following figure.

### What is the amplitude of Y Cscx?

A | B |
---|---|

Domain of y=csc x | All x≠nπ |

Range of y=csc x | y≤-1, y≥1 |

Where do you find the amplitude of sin or cos functions? | Absolute Value of the Coefficient of the sin or cos |

How do you find the period of sin or cosine? | 2π / coefficient of x |

### Does tangent have an amplitude?

**Amplitude**and Period of a

**Tangent**Function

The **tangent** function **does** not **have an amplitude** because it has no maximum or minimum value. The period of a **tangent** function, y=atan(bx) , is the distance between any two consecutive vertical asymptotes.

### Which trigonometric functions are even?

A **function** is said to be **even** if f(−x)=f(x) and odd if f(−x)=−f(x). Cosine and secant are **even**; **sine**, tangent, cosecant, and cotangent are odd. **Even** and odd properties can be used to evaluate **trigonometric functions**.

### What is the period of CSC 4x?

The basic **period** for y=**csc**(**4x**) y = **csc** ( **4 x** ) will occur at (0,π2) ( 0 , π 2 ) , where 0 0 and π2 π 2 are vertical **asymptotes**.

### Is amplitude always positive?

The **amplitude** or peak **amplitude** of a wave or vibration is a measure of deviation from its central value. **Amplitudes** are **always positive** numbers (for example: 3.5, 1, 120) and are never negative (for example: -3.5, -1, -120).

### What is the amplitude of a graph?

**Amplitude** is the distance between the center line of the function and the top or bottom of the function, and the period is the distance between two peaks of the **graph**, or the distance it takes for the entire **graph** to repeat.

### How do you determine the amplitude of a wave?

**The amplitude of a wave is measured as:**

- the height from the equilibrium point to the highest point of a crest or.
- the depth from the equilibrium point to the lowest point of a trough.

### What is the formula of amplitude?

**Amplitude Formula**. For an object in periodic motion, the **amplitude** is the maximum displacement from equilibrium. For example, a pendulum swings through its equilibrium point (straight down), then swings to a maximum distance away from the center. At time t = 8.50 s, the pendulum is 14.0 cm from its equilibrium position

### What is the amplitude of a sinusoidal function?

The **amplitude** of the sine and **cosine functions** is the vertical distance between the **sinusoidal** axis and the maximum or minimum value of the **function**. In relation to sound waves, **amplitude** is a measure of how loud something is.

### Can the amplitude be negative?

An **amplitude** cannot be **negative** since it is defined as a half the distance, which cannot be **negative**, between the maximum value and the minimum value.

### Is Secant a Rx?

The **secant**, sec **x**, is the reciprocal of the cosine, the ratio of **r** to **x**. When the cosine is 0, the **secant** is undefined.