Evaluate arcsin values and angle units accurately. Check domain limits, symmetry, and plotted points easily. Save clean reports for homework, teaching, testing, or review.
The curve shows how the inverse sine angle changes as x moves from -1 to 1.
| Input x | arcsin(x) in radians | arcsin(x) in degrees |
|---|---|---|
| -1.0000 | -1.5708 | -90.0000° |
| -0.5000 | -0.5236 | -30.0000° |
| 0.0000 | 0.0000 | 0.0000° |
| 0.5000 | 0.5236 | 30.0000° |
| 0.7071 | 0.7854 | 45.0000° |
| 1.0000 | 1.5708 | 90.0000° |
Inverse sine definition: If y = arcsin(x), then sin(y) = x.
Input domain: -1 ≤ x ≤ 1
Principal output range: -π/2 ≤ y ≤ π/2
Degree conversion: degrees = radians × 180 / π
This calculator uses the built-in inverse sine function to return the principal angle.
It also checks the result by evaluating sin(arcsin(x)).
It returns the principal inverse sine of a value x. The input must stay between -1 and 1, and the output lies from -π/2 to π/2, or from -90° to 90°.
Sine values for real angles never go below -1 or above 1. Because arc sine reverses sine, any real-valued inverse sine calculator must restrict the input to that interval.
The principal value is the single standard answer chosen for inverse sine. It always falls in the range from -π/2 to π/2, making the inverse function consistent and unique.
Yes. Negative values are valid as long as they remain at least -1. The result will also be negative because arc sine is an odd function: arcsin(-x) = -arcsin(x).
Many math and science problems use radians, while classroom work often uses degrees. Showing both makes conversion immediate and reduces mistakes when switching between formulas or calculators.
The graph shows the full inverse sine curve over its domain. It also highlights your selected point, helping you visualize symmetry, endpoint behavior, and how the angle changes as x moves.
The calculator uses built-in floating-point math and lets you choose displayed decimal places. For normal coursework, engineering estimates, and general analysis, the shown precision is usually more than enough.
Use arc sine when the sine ratio is known and you need the corresponding angle. It appears often in right-triangle work, unit-circle problems, vectors, waves, and trigonometric modeling.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.