数学
已验证计算器，公式透明
Cotangent Calculator.
Calculates the cotangent of an angle in degrees or radians.
您的输入
工作原理
- 1
Enter the angle in degrees.
- 2
The calculator converts degrees to radians.
- 3
It computes the tangent of the angle.
- 4
It takes the reciprocal to get the cotangent.
1 / tan(angle * pi / 180)常见问题
What is cotangent?
Cotangent is the reciprocal of tangent: cot(x) = 1/tan(x).
Why is cotangent undefined at 0° and 180°?
Because tangent is zero at those angles, so the reciprocal is undefined.
Can I input angles in radians?
This calculator uses degrees. For radians, multiply by 180/π.
工作原理
Calculates the cotangent of an angle in degrees or radians.
- Enter the angle in degrees.
- The calculator converts degrees to radians.
- It computes the tangent of the angle.
- It takes the reciprocal to get the cotangent.
公式
此计算器背后的数学公式，供您核对结果。
Cotangent definition
Cotangent is the reciprocal of the tangent function.
Example:
Input: θ = 45°
Calculation: 1 / tan(45°) = 1 / 1
Result: 1
实际应用场景
此计算在日常生活中的应用。
Trigonometry problems
Solve right triangles and trigonometric equations.
Example: Finding the slope of a line given an angle.
Physics applications
Used in wave motion and oscillations.
Example: Calculating phase angles.
Engineering calculations
Useful in structural analysis and design.
Example: Determining forces on inclined planes.
提示与常见错误
Tips
- Remember cot(θ) = cos(θ)/sin(θ).
- Use a calculator with degree mode for quick checks.
- Cotangent is periodic with period 180°.
- For angles where tan is zero, cot is undefined.
Common Mistakes to Avoid
- Forgetting to convert degrees to radians in manual calculations.
- Confusing cotangent with arctangent.
- Using the calculator in radian mode when entering degrees.
假设与限制
- Use the stated inputs and units.
- Results are estimates for planning and education.
- Check measurements and source data before making an important decision.