Math
Instant, private, and free
Cotangent Calculator.
Calculate cotangent for an angle entered in degrees.
On-device calculationNo signup
01
Set your values
Results update as you type.
02 / ANSWER
Angle (rad): 0.785398 rad
Cotangent: 1
Results update automatically as you type.
Use Cases
Solve trigonometry problems
Quickly find the cotangent of an angle for homework, exam prep, or engineering calculations without manual computation.
Example: Find cot(45°) = 1
Check manual calculations
Verify your own cotangent calculations for accuracy, especially when working with non-standard angles.
Example: Check cot(30°) ≈ 1.732
Frequently Asked Questions
- What is cotangent and how is it calculated?
- Cotangent (cot) is the reciprocal of tangent. For an angle in a right triangle, cot = adjacent side / opposite side. In terms of sine and cosine, cot = cos(θ) / sin(θ). This calculator computes cot for an angle you enter in degrees.
- Can I enter any angle in degrees?
- Yes, you can enter any real number in degrees, including negative angles and angles greater than 360°. The calculator will compute the cotangent value. Note that cotangent is undefined for angles where sine is zero (e.g., 0°, 180°, 360°).
- What is the range of cotangent values?
- Cotangent values can be any real number from negative infinity to positive infinity. For angles between 0° and 180°, cot is positive for acute angles and negative for obtuse angles. The calculator gives the exact decimal value.
Tips & Common Mistakes
Tips
- Remember that cot(θ) = 1/tan(θ). If you know the tangent, you can find cotangent by taking its reciprocal.
- For angles like 0°, 180°, and 360°, cotangent is undefined because sine is zero. The calculator may show an error or infinity.
- Use the calculator to explore how cotangent changes with angle: it decreases from positive infinity to negative infinity as the angle goes from 0° to 180°.
- When entering angles, ensure you are using degrees, not radians, as this calculator is designed for degree input.
Common Mistakes to Avoid
- Confusing cotangent with tangent: cot(θ) is the reciprocal, not the same as tan(θ). For example, cot(45°) = 1, not 1.414.
- Forgetting that cotangent is undefined at multiples of 180° (0°, 180°, 360°, etc.) because sine is zero.
- Using radians instead of degrees: if you enter an angle in radians, the result will be incorrect because the calculator expects degrees.
Last updated: August 13, 2026