1. What is Cot Alpha?

Cot Alpha is the value of the trigonometric cotangent function of the non-right angle α, that is the ratio of the adjacent side of a right triangle to its opposite side.

2. How Does the Calculator Work?

The calculator uses the cotangent formula:

Where:

• \( S_{Adjacent} \) — Adjacent Side of Angle Alpha (in meters)
• \( S_{Opposite} \) — Opposite Side of Angle Alpha (in meters)

Explanation: The cotangent function represents the ratio of the length of the adjacent side to the length of the opposite side in a right triangle.

3. Importance of Cot Alpha Calculation

Details: Cotangent calculation is crucial in trigonometry for solving right triangle problems, analyzing periodic phenomena, and various engineering applications.

4. Using the Calculator

Tips: Enter the lengths of adjacent and opposite sides in meters. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of cotangent values?
A: Cotangent values range from negative infinity to positive infinity, depending on the angle α.

Q2: How is cotangent related to tangent?
A: Cotangent is the reciprocal of tangent: cot α = 1/tan α.

Q3: When is cotangent undefined?
A: Cotangent is undefined when the opposite side is zero (when α = 0° or 180°).

Q4: What are typical applications of cotangent?
A: Cotangent is used in physics, engineering, navigation, and computer graphics for angle calculations and transformations.

Q5: Can cotangent values be negative?
A: Yes, cotangent values can be negative in the second and fourth quadrants of the unit circle.