Inverse Trig Function Calculator
The most accurate and complete Inverse Trig Function Calculator — supports all six inverse functions with correct principal value ranges and instant results in both degrees and radians.
About the Inverse Trig Function Calculator
The Inverse Trig Function Calculator is the most comprehensive and scientifically accurate tool available for computing all six inverse trigonometric functions: arcsin, arccos, arctan, arccsc, arcsec, and arccot. This Inverse Trig Function Calculator strictly follows the standard principal value ranges defined in modern mathematics and used in every university textbook (Stewart, Thomas, Larson, Anton). It instantly returns results in both degrees and radians with full domain validation. Proudly supported by Agri Care Hub.
Principal Value Ranges (Standard Definition)
| Function | Domain | Range (Degrees) | Range (Radians) |
|---|---|---|---|
| arcsin(x) | [−1, 1] | [−90°, 90°] | [−π/2, π/2] |
| arccos(x) | [−1, 1] | [0°, 180°] | [0, π] |
| arctan(x) | (−∞, ∞) | (−90°, 90°) | (−π/2, π/2) |
| arccsc(x) | (−∞,−1] ∪ [1,∞) | [−90°,90°] \ {0°} | [−π/2,π/2] \ {0} |
| arcsec(x) | (−∞,−1] ∪ [1,∞) | [0°,180°] \ {90°} | [0,π] \ {π/2} |
| arccot(x) | (−∞, ∞) | (0°, 180°) | (0, π) |
Why This Calculator Is Essential
Inverse trigonometric functions are fundamental in calculus, physics, engineering, computer graphics, and navigation. They are used to find angles from ratios — for example, determining the launch angle of a projectile, phase shift in AC circuits, direction in GPS, or camera angle in 3D rendering. Getting the correct principal value is critical: using the wrong range is one of the most common student errors.
How to Use the Inverse Trig Function Calculator
- Select the inverse function you need.
- Enter the input value (e.g., 0.5, −1, √3, 100).
- Click “Calculate”.
- Instant result with principal value in both degrees and radians.
When Should You Use This Tool?
- High-school & college trigonometry and pre-calculus
- AP Calculus, IB Mathematics, A-Level, SAT/ACT prep
- Physics: projectile motion, waves, optics
- Engineering: control systems, signal processing
- Computer graphics, robotics, game development
- Teaching inverse trig functions and principal values
Scientific Foundation
All six functions follow the internationally accepted principal branch definitions established in 20th-century mathematical analysis. The implementation matches exactly what is taught in Stewart’s *Calculus*, Thomas & Finney, and all major textbooks. Full mathematical treatment at Inverse Trig Function on Wikipedia.
Conclusion
The Inverse Trig Function Calculator delivers instant, mathematically perfect results for all six inverse trigonometric functions — with correct principal values, domain checking, and beautiful presentation. Whether you’re a student, teacher, or professional, this tool saves time and eliminates errors. For more precision math tools, visit Agri Care Hub.