# JavaScript Math.tan() Examples [In-Depth Tutorial]

Written By - Olorunfemi Akinlua

The `Math.tan()` method is a built-in function in JavaScript that returns the tangent of a number. The tangent of an angle is the ratio of the length of the side opposite the angle to the length of the adjacent side. The tangent function via `Math.tan()` is used in wide range of mathematical applications, including calculus, geometry, physics, and engineering. Some areas of application includes calculating slopes, periodic functions or derivatives.

In this article, we will explore the `Math.tan()` method in detail, including syntax, examples, and usage.

## Using the `Math.tan()` method in JavaScript

Before we go into some examples of how to use the `Math.tan()` method, let’s see the syntax of the `Math.tan()` method which is as follows:

``````Math.tan(x)
``````

The `Math.tan()` method takes a single argument `x`, which is the angle in radians. Now, that we have the syntax.

### Example 1: Finding the Tangent of an Angle in Radians

In this example, we will find the tangent of an angle in radians using the `Math.tan()` method. Let's find the tangent of `1.2` radians.

``````const angle = 1.2;
const tangent = Math.tan(angle);
console.log(tangent);
``````

Output

``````2.5721516221263188
``````

In the above example, we have passed `1.2` radians as an argument to the `Math.tan()` method, which returns the tangent of the angle, which is `2.5721516221263277`.

### Example 2: Finding the Tangent of an Angle Using Degrees

In this example, we will find the tangent of an angle in degrees using the `Math.tan()` method. However, the `Math.tan()` method expects the angle to be in radians. To convert degrees to radians, we can use the following formula:

``````radians = (Math.PI / 180) * degrees
``````

Let's find the tangent of `30` degrees using the above formula.

``````const degrees = 30;
const radians = (Math.PI / 180) * degrees;
console.log(tangent);
``````

Output

``````0.5773502691896257
``````

In the above example, we have first converted `30` degrees to radians using the formula `(Math.PI / 180) * degrees`. Then we have passed the radians as an argument to the `Math.tan()` method, which returns the tangent of the angle, which is `0.5773502691896257`.

### Example 3: Finding the Tangent of Multiple Angles

In this example, we will find the tangent of multiple angles using the `Math.tan()` method in a loop. Let's find the tangents of angles `0.25`, `0.5`, `0.75`, `1`, `1.25`, and `1.5` radians.

``````const angles = [0.25, 0.5, 0.75, 1, 1.25, 1.5];
angles.forEach((angle) => {
const tangent = Math.tan(angle);
});
``````

Output

``````Tangent of 0.25 radians: 0.25534192122103627
``````

In the above example, we have created an array `angles` containing the angles in radians. Then we have used a `forEach` loop to iterate over the array and find the tangent of each angle using the `Math.tan()` method. The method returns the tangent of each angle, which is printed to the console.

## Summary

The `Math.tan()` method is a powerful tool for performing mathematical calculations in JavaScript. In this article, we have explored some advanced examples of using the `Math.tan()` method, including finding the tangent of an angle using degrees, finding the tangent of multiple angles, and creating a tangent chart. These examples demonstrate the versatility and usefulness of the `Math.tan()` method in web development.

## References

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