1. What is the Cotangent Formula?

The cotangent function is a trigonometric function that represents 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:

• \( \cot A \) — Cotangent of angle A
• \( \cos A \) — Cosine of angle A
• \( \sin A \) — Sine of angle A

Explanation: The formula calculates the cotangent of an angle by dividing the cosine value by the sine value of the same angle.

3. Importance of Cotangent Calculation

Details: Cotangent is used in various mathematical and engineering applications, including solving trigonometric equations, analyzing waveforms, and calculating angles in right triangles.

4. Using the Calculator

Tips: Enter valid cosine and sine values. Note that if sine value is zero, the cotangent is undefined (division by zero).

5. Frequently Asked Questions (FAQ)

Q1: What is the range of cotangent values?
A: Cotangent values range from negative infinity to positive infinity, excluding zero.

Q2: When is cotangent undefined?
A: Cotangent is undefined when sine value is zero (at angles that are multiples of π).

Q3: How is cotangent related to other trigonometric functions?
A: Cotangent is the reciprocal of tangent: cot A = 1/tan A, and also equals cos A/sin A.

Q4: What are the practical 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.