1. What is Inverse Tan Calculation?

The inverse tangent function, also known as arctangent, calculates the angle whose tangent is a given number. This calculator provides the result in degrees, which is commonly used in various applications.

2. How Does the Calculator Work?

The calculator uses the inverse tangent formula:

Where:

• \( y \) — Y coordinate or opposite side length
• \( x \) — X coordinate or adjacent side length
• \( \theta \) — Resulting angle in degrees
• \( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: The function calculates the ratio y/x, finds the arctangent of that ratio (in radians), and then converts the result to degrees.

3. Applications of Inverse Tan

Details: The inverse tangent function is widely used in trigonometry, physics, engineering, computer graphics, and navigation to determine angles from coordinate values or side ratios.

4. Using the Calculator

Tips: Enter the y and x values (both unitless). The x value cannot be zero. The calculator will compute the angle in degrees.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between radians and degrees?
A: Degrees divide a circle into 360 units, while radians use 2π (about 6.283) units. Most calculators can work with both, but degrees are more intuitive for many applications.

Q2: What is the range of inverse tangent?
A: The arctangent function returns values between -90° and +90° (-π/2 to +π/2 radians).

Q3: How do I handle negative inputs?
A: Negative inputs are valid and will result in negative angles, representing directions in different quadrants of the coordinate system.

Q4: What if x is zero?
A: Division by zero is undefined. If x is zero, the calculator will return an error message.

Q5: When would I use this calculation?
A: Common applications include finding angles in right triangles, calculating phase angles in electrical engineering, and determining directions in navigation systems.