# Tan Calculator: Calculate Tangent Values and Angle Degrees

Are you looking to calculate the tangent value or degree value of an angle? Look no further! With our handy tangent calculator, you can easily determine these values based on your input data. Whether you have the angle degree, radians, or tangent value, our calculator has got you covered.

## Calculating Tangent Values with tan calculator

The tangent function, abbreviated as “tan,” is a trigonometric function that relates the ratio of the length of the side opposite an acute angle to the length of the side adjacent to the angle in a right triangle. It is commonly used in various fields such as mathematics, physics, and engineering.

To calculate the tangent value of an angle, simply enter the angle degree or radians in the input field provided. Our calculator will instantly display the corresponding tangent value.

## Converting Angle Degrees to Radians

If you have an angle degree and want to convert it to radians, our calculator can help you with that as well. Simply enter the angle degree in the input field, and our calculator will convert it to radians automatically.

Remember, radians are a unit of measurement for angles, commonly used in advanced mathematical calculations. They are defined as the ratio of the arc length to the radius of a circle.

## Calculating Angle Degrees from Tangent Values

On the other hand, if you have a tangent value and want to find the angle degree, our calculator can do that too. Enter the tangent value in the input field, and our calculator will provide you with the corresponding angle degree.

This feature is particularly useful when working with right triangles. By knowing the lengths of the sides adjacent and opposite to an angle, you can calculate the tangent value and find the angle degree.

## Calculating Angle Degrees for Two Sides Triangle

In addition to calculating the tangent value and angle degree for a single angle, our calculator can also handle calculations for a two sides triangle. This type of triangle consists of two sides, namely the adjacent and opposite sides, and an angle.

By entering the lengths of the adjacent and opposite sides in the input fields, our calculator will determine the angle degree for the given sides. This can be particularly useful in various applications, such as navigation and surveying.

## Tangent Values for Radians and Angle Degrees

Angle (in degrees) | Angle (in radians) | Tangent Value |
---|---|---|

0° | 0 | 0 |

30° | π/6 | √3/3 |

45° | π/4 | 1 |

60° | π/3 | √3 |

90° | π/2 | Undefined |

120° | 2π/3 | -√3 |

135° | 3π/4 | -1 |

150° | 5π/6 | -√3/3 |

180° | π | 0 |

In the table above, we provide the tangent values for angles measured in both degrees and radians. The angle in degrees represents the measure of an angle in a circle, where a full circle is 360°.

On the other hand, the angle in radians represents the measure of an angle based on the radius of a circle. The tangent values in the table show the ratio of the side opposite the angle to the side adjacent to the angle.

It is important to note that the tangent function is undefined for angles of 90° and 270°, as the side adjacent to these angles is zero.

By referring to the table, you can easily find the tangent value for a specific angle, whether it is measured in degrees or radians.

## Understanding the Tangent Calculation Patterns

When working with the tangent function, it’s important to understand the patterns of its calculations. The tangent function has periodicity, meaning it repeats its values after a certain interval. The interval for the tangent function is π (pi) radians or 180 degrees.

For example, the tangent of 0 degrees or 0 radians is 0, and the tangent of 180 degrees or π radians is also 0. Similarly, the tangent of 90 degrees or π/2 radians is undefined, as it represents a vertical line.

It’s essential to keep these patterns in mind when interpreting the results of tangent calculations. Additionally, it’s worth noting that the tangent function can be positive or negative, depending on the quadrant of the angle in a coordinate system.

Our tangent calculator takes these patterns into account and provides accurate results based on the input data you provide.

So, whether you need to calculate the tangent value or angle degree, convert angle degrees to radians, or work with two sides triangles, our tangent calculator is the perfect tool for the job. It’s easy to use, accurate, and saves you time and effort in your calculations.

Try our tangent calculator today and make your trigonometric calculations a breeze!