## What is the degree of a tan?

## What is the degree of a tan?

Deriving the Value of Tan Degrees

Angles (in degrees) | 0° | 45° |
---|---|---|

Sin | 0 | 1 2 |

Cos | 1 | 1 2 |

tan | 0 | 1 |

**Why is tan period 180?**

tan θ = 1 when θ = 45˚ and 225˚. tan θ = –1 when θ = 135˚ and 315˚. As the point P moves round the unit circle in either the clockwise or anticlockwise direction, the tangent curve above repeats itself for every interval of 180˚. Its period is 180˚.

### What is tan curve?

The shape of the tangent curve is the same for each full rotation of the angle and so the function is called ‘periodic’. The period of the function is 360° or 2π radians. You can rotate the point as many times as you like. This means you can find the tangent of any angle, no matter how large, with one exception.

**What is tan of angle θ?**

The Tan Θ is the ratio of the Opposite side to the Adjacent, where (Θ) is one of the acute angles.

#### Is the value of tan 60 degree?

√3

Therefore, the exact value of tan 60 degrees is √3.

**What is tan range?**

all real numbers

The domain of the function y=tan(x) ) is all real numbers except the values where cos(x) is equal to 0 , that is, the values π2+πn for all integers n . The range of the tangent function is all real numbers.

## Does tan have a period?

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.

**What is the range of the tangent function?**

The range of the tangent function contains all real numbers. The function is periodic with periodicity 180 degrees or π radians. We can define an inverse function, denoted f(x) = tan−1 x or f(x) = arctanx, by restricting the domain of the tangent function to −90◦

### What is angle θ?

The Greek letter θ (theta) is used in math as a variable to represent a measured angle. For example, the symbol theta appears in the three main trigonometric functions: sine, cosine, and tangent as the input variable.