Sin Inverse Calculator (sin⁻¹ x)
This calculator finds the inverse sine (arcsin) of a value and shows the complete step-by-step mathematical solution.
📘 User Guide (Click to Open)
What is sin⁻¹ (Inverse Sine)?
The inverse sine function finds the angle whose sine equals the given value.
Domain of sin⁻¹
Only values between −1 and +1 are allowed.
Range
- Degrees: −90° to +90°
- Radians: −π/2 to +π/2
Exact Values
- sin⁻¹(0) = 0°
- sin⁻¹(1/2) = 30°
- sin⁻¹(√2/2) = 45°
- sin⁻¹(√3/2) = 60°
- sin⁻¹(1) = 90°
How This Calculator Works
- Validates input range
- Detects exact trigonometric values
- Computes arcsin
- Converts to degrees or radians
- Shows mathematical steps