1. What is Arctan Calculation?

Arctan (inverse tangent) calculation determines the angle whose tangent is the ratio of the opposite side to the adjacent side in a right triangle. This calculator provides the result in degrees.

2. How Does the Calculator Work?

The calculator uses the arctan formula:

Where:

• \( \theta \) — Angle in degrees
• \( \text{opposite} \) — Length of the side opposite the angle
• \( \text{adjacent} \) — Length of the side adjacent to the angle
• \( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: The formula calculates the inverse tangent of the ratio and converts the result from radians to degrees.

3. Importance of Angle Calculation

Details: Accurate angle calculation is crucial for trigonometry, geometry, navigation, engineering, and various scientific applications involving right triangles.

4. Using the Calculator

Tips: Enter both opposite and adjacent side lengths as positive values. The calculator requires both values to be greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of arctan values?
A: The arctan function returns values between -90° and +90° (-π/2 to +π/2 radians).

Q2: Why convert from radians to degrees?
A: Degrees are more commonly used in everyday applications and are easier to interpret than radians for most people.

Q3: Can I use this for non-right triangles?
A: No, this calculator is specifically designed for right triangles where the tangent function is defined.

Q4: What if both sides are equal?
A: If opposite = adjacent, the ratio is 1 and arctan(1) = 45°.

Q5: Are negative values accepted?
A: No, this calculator only accepts positive length values since physical lengths cannot be negative.