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Use this free tan inverse calculator (tan⁻¹, arctan) to find angles in degrees and radians from a tangent value. It works like an online tan-1 calculator and inverse tangent calculator: enter a number or fraction and get arctan(x) in radians, degrees, minutes, and seconds, with special value recognition and step-by-step explanations.
Last updated: February 2, 2026
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Enter any real number. Common values: 0, ±1, ±√3, ±1/√3
For input value 1:
arctan(1) = 0.785398 rad = 45.000000°
Many people search for values like "tan inverse 0.01 in degrees" or "arctan 0.01". Here are exact and approximate results for some of the most common inverse tangent queries. All angles are principal values of the arctan function.
| Query | Exact / Expression | Radians (≈) | Degrees (≈) |
|---|---|---|---|
| tan inverse 0 | arctan(0) | 0 | 0° |
| tan inverse 0.01 in degrees / arctan 0.01 | arctan(0.01) | ≈ 0.0100 rad | ≈ 0.5729° |
| tan inverse 0.18 in degrees | arctan(0.18) | ≈ 0.1781 rad | ≈ 10.2041° |
| tan inverse 0.35 in degrees | arctan(0.35) | ≈ 0.3367 rad | ≈ 19.2919° |
| tan inverse 0.625 in degrees | arctan(0.625) | ≈ 0.5586 rad | ≈ 32.0073° |
| tan inverse 0.66 in degrees | arctan(0.66) | ≈ 0.5834 rad | ≈ 33.4175° |
| inverse tan 2 in degrees | arctan(2) | ≈ 1.1071 rad | ≈ 63.4349° |
| tan inverse 6 in degrees | arctan(6) | ≈ 1.4056 rad | ≈ 80.5377° |
| arctan(1/6) in degrees | arctan(1/6) | ≈ 0.1651 rad | ≈ 9.4623° |
| arctan(1/7) in degrees | arctan(1/7) | ≈ 0.1419 rad | ≈ 8.1301° |
These values are rounded to four decimal places for degrees and six decimal places for radians. For full precision or other inputs like fractions, negatives, or large values, use the tan inverse calculator at the top of this page.
Our inverse tangent calculator uses advanced trigonometric algorithms to compute arctan(x) with high precision. It behaves like the tan inverse button (tan⁻¹) on a scientific calculator, so queries such as "tan inverse 0.01 in degrees", "tan-1 calculator degrees", or "inverse tan 2" are handled exactly as you expect. The calculator recognizes special values, performs quadrant analysis, and provides comprehensive results in multiple formats. It handles bothdecimal and fractional inputs with detailed step-by-step explanations for educational and professional applications.
Convert fractions/expressions to decimal formθ = arctan(x), where -π/2 < θ < π/2degrees = radians × (180/π)Shows the arctan function curve with asymptotes at ±π/2
Our inverse tan calculator provides comprehensive solutions for all inverse tangent calculations. Whether you need to find inverse tan on calculator, use an arctan calculator, or calculate reverse tangent values, our tool handles all types of inverse tangent problems with detailed step-by-step solutions and special value recognition.
The inverse tangent function is defined as the inverse of the tangent function over its principal domain. For any real number x, arctan(x) returns the unique angle θ in the interval (-π/2, π/2) such that tan(θ) = x. This function is continuous and strictly increasing over its entire domain, with horizontal asymptotes at y = ±π/2 as x approaches ±∞.
Need help with other trigonometric functions? Check out our coterminal angle calculator and angle between vectors calculator.
Get Custom Calculator for Your BusinessInverse Tan Calculator Result: arctan(1) = π/4 radians = 45° (Special Value)
This demonstrates how our inverse tan calculator works - recognizing special values automatically and providing both exact (π/4) and decimal (45°) results. Perfect for understanding inverse tangent calculations!
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