1. What is Inverse Tangent?

The inverse tangent function (arctan or tan⁻¹) is the inverse of the tangent function. Given a ratio of opposite to adjacent sides in a right triangle, it returns the corresponding angle in degrees or radians.

2. How Does the Calculator Work?

The calculator uses the inverse tangent function:

Where:

• \( x \) — Input value (unitless ratio)
• \( \theta \) — Resulting angle in degrees

Explanation: The function calculates the angle whose tangent is the given number x, returning the result in degrees.

3. Understanding the Result

Details: The result represents an angle in degrees between -90° and 90° (excluding the endpoints). This corresponds to the principal value of the inverse tangent function.

4. Using the Calculator

Tips: Enter any real number as input. The calculator will return the corresponding angle in degrees. The input value x can be positive, negative, or zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of output values?
A: The arctan function returns values between -90° and 90° (-π/2 to π/2 radians).

Q2: Can I input very large numbers?
A: Yes, but for very large positive numbers, the result approaches 90°, and for very large negative numbers, it approaches -90°.

Q3: How is this different from Windows 10 calculator?
A: This calculator works exactly like the Windows 10 calculator in degrees mode when using the inverse tangent function.

Q4: What if I need the result in radians?
A: This calculator provides results in degrees. For radians, multiply the degree result by π/180.

Q5: Are there any input restrictions?
A: The input can be any real number. There are no restrictions on the input value for the arctan function.