# Rotation Calculator: (Unlock Angular Mastery)

The Rotation Calculator is a handy tool that allows you to calculate the new coordinates (X, Y) after applying a rotation angle to a point in a 2D plane. This tool is particularly useful in various fields such as mathematics, engineering, and computer graphics.

## How It Works

**To use the Rotation Calculator, follow these steps:**

- Enter the initial X and Y coordinates of the point you want to rotate.
- Input the rotation angle in degrees.
- Click the “Calculate” button to compute the new coordinates after the rotation.

The calculator will then display the transformed X and Y coordinates based on the entered values.

## Understanding the Formula

The rotation formula used in this calculator is based on trigonometry. Here’s how it works:

Convert the rotation angle from degrees to radians using the formula:

** radians = (angle * Math.PI) / 180.**

Apply the rotation formula to calculate the new X and Y coordinates:

New X-coordinate (newX) = (X * cos(radians)) – (Y * sin(radians))

New Y-coordinate (newY) = (X * sin(radians)) + (Y * cos(radians))

## Practical Uses

The Rotation Calculator has various practical applications:

- In mathematics, it is used to perform transformations on geometric shapes.
- In engineering, it helps in determining the new positions of objects after they are rotated.
- In computer graphics, it is used to manipulate the positions of pixels, creating stunning visual effects.

## Conclusion

The Rotation Calculator simplifies the process of calculating new coordinates after a rotation, making it a valuable tool in various fields. Whether you’re a student, engineer, or graphic designer, this calculator can assist you in your work with ease.