1. What is Cotangent?

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle. It is the reciprocal of the tangent function.

2. How Does the Calculator Work?

The calculator uses the cotangent formula:

Where:

• \( A \) — Angle in radians

Explanation: The cotangent function calculates the ratio of the adjacent side to the opposite side for a given angle in a right triangle.

3. Importance of Cotangent Calculation

Details: Cotangent is important in various mathematical and engineering applications, including solving triangles, wave analysis, and electrical engineering calculations.

4. Using the Calculator

Tips: Enter the angle value in radians. The calculator will compute the cotangent of the given angle.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between cotangent and tangent?
A: Cotangent is the reciprocal of tangent: \(\cot A = \frac{1}{\tan A}\)

Q2: What are the domain restrictions for cotangent?
A: Cotangent is undefined when the angle is a multiple of π (180 degrees) because tangent would be zero at those points.

Q3: Can I input angles in degrees?
A: This calculator requires angles in radians. To convert degrees to radians, multiply by π/180.

Q4: What is the range of cotangent values?
A: Cotangent values range from negative infinity to positive infinity.

Q5: How is cotangent used in real-world applications?
A: Cotangent is used in physics, engineering, navigation, and computer graphics for various calculations involving angles and ratios.