1. What is Arctan?

The arctangent function (arctan or tan⁻¹) is the inverse of the tangent function. It returns the angle whose tangent is the given number. This calculator provides the result in radians.

2. How Does the Calculator Work?

The calculator uses the arctangent function:

Where:

• \( \theta \) — Angle in radians
• \( x \) — Input value (unitless)

Explanation: The function calculates the principal value of the arctangent of x, returning the angle between -π/2 and π/2 radians.

3. Importance of Arctan Calculation

Details: Arctangent is widely used in mathematics, physics, engineering, and computer science for angle calculations, particularly in trigonometry and vector mathematics.

4. Using the Calculator

Tips: Enter any real number as input. The result will be in radians between -π/2 and π/2 (-90° to 90°).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between degrees and radians?
A: Radians are the standard unit of angular measure in mathematics. 1 radian ≈ 57.2958 degrees. Full circle is 2π radians (≈6.283).

Q2: What is the range of arctan?
A: The range is from -π/2 to π/2 radians (-90° to 90°).

Q3: How is this different from atan2?
A: atan2(y,x) takes two arguments and returns angle in all four quadrants (-π to π), while arctan(x) is limited to two quadrants.

Q4: Can I get the result in degrees?
A: This calculator provides radians only. To convert to degrees, multiply by (180/π).

Q5: What are some practical applications?
A: Used in calculating angles in right triangles, computer graphics, robotics, navigation, and signal processing.