Explanation: By definition, **csc**(x)=1sin(x) . Therefore, its **period** is the same as the **period** of sin(x) , that is, 2π .

**Watch out a lot more about it. Keeping this in view, what is the period of a CSC function?**

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.

Beside above, what is the period of the function CSC 4x? The **period of the function** goes right along with the compression so the new **period** for **csc**(**4x**) is 1/4 the **period** of **csc**(x). Thus the **period** for **csc**(**4x**) is 2(pi)/4 = pi/2.

**Herein, how do I find the period of a function?**

The **period** of a periodic **function** is the interval of x-values on which the cycle of the graph that’s repeated in both directions lies. Therefore, in the case of the basic cosine **function**, f(x) = cos(x), the **period** is 2π. where A, B, C, and D are numbers, and the **periods** of these cosine **functions** differ.

## What is the period of tan 2x?

The **period of tan**(x) is π . This means that the **period of tan**(B⋅x) is π|B| when B≠0 .

What are the periods for the six trigonometric functions?

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

Period of y=sin x | 2π |

Period of y=cos x | 2π |

Period of y=tan x | π |

Period of y=cot x | π |

### What is the period of tangent?

As you can see, the **tangent** has a **period** of π, with each **period** separated by a vertical asymptote. The concept of “amplitude” doesn’t really apply. For graphing, draw in the zeroes at x = 0, π, 2π, etc, and dash in the vertical asymptotes midway between each zero.

### Why is cos an even function?

The **cosine** is an **even function** which means that if (x,y) is on the graph of the **function** so too is the point (-x,y). Since y corresponds to **cos**(x) then this means that **cos**(-x) = **cos**(x). For example, tan(x) = sin(x)/**cos**(x) and so the tangent **function** is undefined at /2 + n , n an integer.

### 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 tangent function?

**Tangent Function**. The **tangent function** is a periodic **function** which is very important in trigonometry. The simplest way to understand the **tangent function** is to use the unit circle. The x -coordinate of the point where the other side of the angle intersects the circle is cos(θ) and the y -coordinate is sin(θ) .

### What is the formula of period?

The formula for time is: T (period) = 1 / f (**frequency**). λ = c / f = wave speed c (m/s) / **frequency** f (Hz). The unit hertz (Hz) was once called cps = cycles per second.

### How do you graph a tangent?

As you can see, the tangent has a period of π, with each period separated by a vertical asymptote. The concept of “amplitude” doesn’t really apply. For graphing, draw in the zeroes at x = 0, π, 2π, etc, and dash in the vertical asymptotes midway between each zero. Then draw in the curve.

### What is the period of a function?

The **period** of a periodic **function** is the interval between two “matching” points on the graph. In other words, it’s the distance along the x-axis that the **function** has to travel before it starts to repeat its pattern. The basic sine and cosine **functions** have a **period** of 2π, while tangent has a **period** of π.

### What is the fundamental period?

**Fundamental Period**, Frequency, and Angular Frequency

The **fundamental period** is the smallest positive real number for which the periodic equation. holds true. The **fundamental** frequency is defined as .

### What is sinusoidal function?

A **sinusoidal function** is a **function** that is like a sine **function** in the sense that the **function** can be produced by shifting, stretching or compressing the sine **function**. If necessary you might like to review the graphing shortcuts.

### 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 fundamental period of a function?

The **fundamental period of a function** is the smallest so that for all . Here’s an example: . Note that when you graph this **function**, the “waves” repeat forever in exactly the same way forever, making the **function** “periodic.” The **fundamental period** is the distance between two “crests of the wave”, or .