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Calculate Cot Inverse

Cot Inverse Formula:

\[ \cot^{-1}(x) = \arctan\left(\frac{1}{x}\right) \]

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1. What is Cot Inverse?

Cot Inverse (arccotangent) is the inverse trigonometric function of cotangent. It returns the angle whose cotangent is the given number. The principal value range is (0, π) radians or (0°, 180°).

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \cot^{-1}(x) = \arctan\left(\frac{1}{x}\right) \]

Where:

Explanation: The calculator computes the arctangent of the reciprocal of the input value to find the arccotangent.

3. Applications of Cot Inverse

Details: Cot inverse is used in various mathematical and engineering applications, including solving trigonometric equations, signal processing, and navigation calculations.

4. Using the Calculator

Tips: Enter any real number value (except zero). The calculator will return the result in both radians and degrees.

5. Frequently Asked Questions (FAQ)

Q1: Why can't I input zero?
A: Cotangent is undefined at zero (division by zero), so the inverse function cannot accept zero as input.

Q2: What is the range of cot inverse?
A: The principal value range is (0, π) radians or (0°, 180°).

Q3: How is this different from tan inverse?
A: Cot inverse gives the angle whose cotangent is x, while tan inverse gives the angle whose tangent is x. They are related by: cot⁻¹(x) = tan⁻¹(1/x).

Q4: Can I use negative values?
A: Yes, the calculator accepts both positive and negative values (except zero).

Q5: What precision does the calculator provide?
A: Results are calculated with high precision and displayed with 6 decimal places.

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