1. What is Arctan?

The arctangent (arctan) is the inverse function of the tangent. It returns the angle whose tangent is the given number. This calculator mimics the functionality of Casio FX calculators for arctan calculations.

2. How Does the Calculator Work?

The calculator uses the arctangent function:

Where:

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

Explanation: The function calculates the principal value of the arctangent of x, in the range [-π/2, π/2] radians or [-90°, 90°].

3. Importance of Arctan Calculation

Details: Arctan is essential in trigonometry, engineering, physics, and navigation for converting between slopes/ratios and angles.

4. Using the Calculator

Tips: Enter any real number as input (x) and select whether you want the result in degrees or radians. The calculator will return the angle whose tangent is x.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between degrees and radians?
A: Degrees range from 0-360 in a circle, while radians range from 0-2π. 180° = π radians.

Q2: What is the range of arctan?
A: Arctan returns values between -90° to 90° (-π/2 to π/2 radians).

Q3: How does this compare to a Casio FX calculator?
A: This emulates the arctan function (tan⁻¹) found on Casio FX scientific calculators.

Q4: Can I calculate arctan for complex numbers?
A: This calculator handles real numbers only. Complex arctan requires more advanced calculations.

Q5: What about special cases?
A: arctan(0) = 0, arctan(1) = 45° (π/4 radians), arctan(∞) = 90° (π/2 radians).