1. What is Tan Inverse?

The tan inverse function (arctangent) calculates the angle whose tangent is the ratio of the opposite side to the adjacent side of a right triangle. This calculator provides the result in degrees.

2. How Does the Calculator Work?

The calculator uses the tan inverse formula:

Where:

• \( \theta \) — Angle in degrees
• \( y \) — Opposite side length (meters)
• \( x \) — Adjacent side length (meters)

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

3. Importance of Angle Calculation

Details: Calculating angles from side lengths is fundamental in trigonometry, physics, engineering, and navigation. It's used in fields ranging from construction to computer graphics.

4. Using the Calculator

Tips: Enter both y and x values in meters. The x value cannot be zero (as tan(90°) is undefined). Results are given in degrees.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between radians and degrees?
A: Degrees divide a circle into 360 parts, while radians use 2π. 1 radian ≈ 57.2958 degrees.

Q2: What range does the calculator output?
A: The arctan function typically returns values between -90° and +90° (-π/2 to +π/2 radians).

Q3: How do I handle angles in other quadrants?
A: You may need to add 180° to the result depending on the signs of x and y (quadrant adjustment).

Q4: What if x is zero?
A: When x=0, the angle is 90° or -90° (undefined in pure tangent function). Our calculator requires x≠0.

Q5: Can I use other units besides meters?
A: Yes, as long as both y and x use the same units, the ratio (and thus the angle) will be the same.