tan θ = 1 / cot θ
Tangent equals one divided by cotangent
Enter a decimal number (2 or 2.5), fraction (1/2), or expression with square root (√3, √3/3)
Cotangent to Tangent Calculator
Convert cotangent values to tangent using the fundamental trigonometric relationship. This calculator provides precise tangent calculations from cotangent inputs with support for various mathematical expressions including square roots and fractions.
tan θ = 1 / cot θ
Tangent equals one divided by cotangent
The relationship between tangent and cotangent is reciprocal, meaning they are multiplicative inverses of each other. When cotangent increases, tangent decreases proportionally, and vice versa. This calculator handles the mathematical conversion automatically while providing additional trigonometric information.
Example Calculation:
If cot θ = √3, then tan θ = 1/√3 = √3/3 ≈ 0.5774
This corresponds to an angle of 30° (π/6 radians) in the first quadrant.
Calculator Features:
- Accepts decimal numbers, fractions, and expressions with square roots
- Provides angle values in both degrees and radians
- Calculates corresponding sine and cosine values
- Adjustable decimal precision from 2 to 8 places
- Visual representation on unit circle diagram
- Quick input buttons for common trigonometric values
The calculator automatically detects when cotangent equals zero, which results in undefined tangent values (corresponding to 90° and 270° angles). Input validation ensures accurate calculations while handling various mathematical notations commonly used in trigonometry.