To find the cot inverse (arccot) of a value, subtract the arctangent of the value from π/2\pi/2. This formula helps determine the angle whose cotangent equals the given value.

Cot Inverse Calculator

Enter any 1 value to calculate the other

The Cot Inverse Calculator is a handy tool for finding the arccotangent, or inverse cotangent, of a number. This calculation is common in trigonometry when you need to find an angle based on a cotangent value. Basically, the cot inverse function is used to determine the angle whose cotangent equals a specific value.

This tool is especially helpful in solving trigonometric equations and analyzing periodic functions. Moreover, this calculator provides the result in radians, making it valuable for fields like physics, engineering, and math where angle measurements are often needed.

Formula:

arccot(x)=π2−arctan⁡(x)\text{arccot}(x) = \frac{\pi}{2} - \arctan(x)
Variable Description
arccot(x)\text{arccot}(x) Inverse Cotangent (angle in radians)
xx Input value for which you want to find the arccot
π\pi Pi constant (approximately 3.14159)
arctan⁡(x)\arctan(x) Arctangent of xx

Solved Calculations:

Example 1:
Calculate the cot inverse of x=1x = 1.

Step Calculation
1. arccot(1)=π2−arctan⁡(1)\text{arccot}(1) = \frac{\pi}{2} – \arctan(1)
2. Since arctan⁡(1)=π4\arctan(1) = \frac{\pi}{4}
3. arccot(1)=π2−π4\text{arccot}(1) = \frac{\pi}{2} – \frac{\pi}{4}
4. arccot(1)=π4\text{arccot}(1) = \frac{\pi}{4}

Answer: π4\frac{\pi}{4} radians

Example 2:
Calculate the cot inverse of x=3x = \sqrt{3}.

Step Calculation
1. arccot(3)=π2−arctan⁡(3)\text{arccot}(\sqrt{3}) = \frac{\pi}{2} – \arctan(\sqrt{3})
2. Since arctan⁡(3)=π3\arctan(\sqrt{3}) = \frac{\pi}{3}
3. arccot(3)=π2−π3\text{arccot}(\sqrt{3}) = \frac{\pi}{2} – \frac{\pi}{3}
4. arccot(3)=π6\text{arccot}(\sqrt{3}) = \frac{\pi}{6}

Answer: π6\frac{\pi}{6} radians

What is a Cot Inverse Calculator?

The Cot Inverse Calculator is a tool used to find the inverse cotangent (arccot) of a given value. Thus, it facilitates you to find out the angle whose cotangent is the specified value. The result is expressed in radians or degrees, depending on your preference, and is helpful in trigonometry, calculus, and other math applications.

More importantly, using this calculator is simple: just enter the cotangent value, and it will instantly provide the inverse cotangent angle. This calculator is especially useful for students and professionals who need to solve trigonometric equations or perform complex calculations.

Final Words:

To put in a limited words, the Cot Inverse Calculator makes it easy to calculate inverse cotangent values quickly and accurately, providing essential support in various mathematical tasks.

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