1. What is Inverse Tangent?

The inverse tangent (arctangent) function calculates the angle whose tangent is a given number. It returns values between -90° and +90°.

2. How Does the Calculator Work?

The calculator uses the mathematical formula:

Where:

• \( \theta \) — Angle in degrees
• \( x \) — Input value (dimensionless)

Explanation: The function first calculates the angle in radians and then converts it to degrees.

3. Practical Applications

Details: Inverse tangent is used in trigonometry, physics, engineering, and computer graphics for calculating angles from ratios.

4. Using the Calculator

Tips: Enter any real number as input. The calculator will return the corresponding angle between -90° and +90°.

5. Frequently Asked Questions (FAQ)

Q1: What's the range of inverse tangent?
A: The range is -90° to +90° (-π/2 to +π/2 radians).

Q2: How is this different from inverse sine or cosine?
A: Each inverse trigonometric function returns angles based on different ratios (tangent = opposite/adjacent).

Q3: Can I calculate inverse tangent of very large numbers?
A: Yes, but the result will approach ±90° asymptotically.

Q4: Why does the calculator show degrees instead of radians?
A: Degrees are more intuitive for most users, though the calculation is done in radians internally.

Q5: What about the other solutions outside -90° to +90°?
A: The principal value is between -90° and +90°. For all solutions, add 180° × n where n is an integer.