Cotg Calculator
Enter an angle and calculate cotg(x) instantly. You can work in degrees or radians.
Note: cotg(x) is undefined when sin(x) = 0 (for example, 0°, 180°, 360°, ...).
What is a cotg calculadora?
A cotg calculadora is a cotangent calculator. It helps you compute the cotangent of an angle quickly and accurately, whether you are working on school homework, engineering tasks, or trigonometry practice.
In many languages and textbooks, cotangent appears as cot or cotg. Both represent the same trigonometric function.
Core formula for cotangent
The cotangent of an angle can be written in several equivalent ways:
cotg(x) = cos(x) / sin(x)
This means cotg is the reciprocal of tangent. If tan(x) is large, cotg(x) becomes small, and vice versa.
When cotg is undefined
Cotangent depends on division by sin(x). So when sin(x) = 0, the result is undefined.
- In degrees: x = 0°, 180°, 360°, ...
- In radians: x = 0, π, 2π, ...
How to use this calculator
- Type the angle value in the first input.
- Select degrees or radians.
- Choose how many decimal places you want.
- Click Calculate cotg(x).
You will see cotg(x) plus extra context values, including sin(x), cos(x), and tan(x), so you can verify your calculations.
Quick examples
Example 1: cotg(45°)
Because tan(45°) = 1, then cotg(45°) = 1/1 = 1.
Example 2: cotg(30°)
tan(30°) ≈ 0.57735, so cotg(30°) ≈ 1.73205.
Example 3: cotg(π/4)
π/4 radians is the same angle as 45°, so cotg(π/4) = 1.
Degrees vs. radians: common confusion
One of the most frequent errors in trigonometry is mixing degree and radian modes. If your angle is 45 but your calculator assumes radians, the result will be very different. Always verify unit mode before calculating.
- Degrees: full circle = 360
- Radians: full circle = 2π
Why cotangent matters in practice
Cotangent appears in geometry, physics, and signal analysis. You can see it in:
- Right-triangle relations and side-ratio problems
- Coordinate transforms and slope-style relationships
- Wave analysis and periodic systems
- Engineering approximations involving reciprocal slopes
Tips for more accurate trig work
- Use enough decimal places for your assignment requirements.
- Round only at the final step, not during intermediate steps.
- Watch for undefined points where sin(x) is zero or near zero.
- Keep unit consistency across all steps.
Final thoughts
A cotg calculadora saves time, reduces mistakes, and makes trigonometry more approachable. Use the tool above to compute cotangent in seconds, then use the explanations to strengthen your understanding of the function itself.