1. What Is Tan Inverse?

The tan inverse function (arctangent) is the inverse of the tangent function. It returns the angle whose tangent is a given number. The range of tan inverse is from -90° to 90° (-π/2 to π/2 radians).

2. How Does The Calculator Work?

The calculator uses the mathematical function:

Where:

• \( x \) — Input value (any real number)
• \( \theta \) — Resulting angle

Explanation: The calculator computes the principal value of the arctangent function in either degrees or radians.

3. Importance Of Tan Inverse Calculation

Details: Tan inverse is widely used in trigonometry, physics, engineering, and computer graphics for angle calculations from ratios.

4. Using The Calculator

Tips: Enter any real number value and select whether you want the result in degrees or radians. The calculator will return the principal value.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of tan inverse?
A: The principal value range is -90° to 90° (-π/2 to π/2 radians).

Q2: What is tan inverse of 1?
A: tan⁻¹(1) = 45° or π/4 radians.

Q3: Can tan inverse be calculated for negative numbers?
A: Yes, it returns negative angles between -90° and 0°.

Q4: How is tan inverse different from cotangent?
A: Tan inverse gives you an angle from a ratio, while cotangent is the reciprocal of tangent (1/tan).

Q5: What's the relationship between tan inverse and other inverse trig functions?
A: tan⁻¹(x) = sin⁻¹(x/√(1+x²)) = cos⁻¹(1/√(1+x²)).