Inverse Sine Calculator (arcsin)
Find arcsin(x), the angle whose sine is x, in degrees and radians.
Change the values and press Calculate to work out your own figures.
Enter the value x.
Show the working
- The principal value lies in −90° to 90°
- arcsin(0.5) = 0.5235987756 rad = 30°
How to use it
Enter the value x.
Enter the values you know (decimals, fractions, surds such as 2√5, or angles such as π/3 in radians). Show the working gives the rule used at each step.
Key facts
arcsin(x) is the angle in [−90°, 90°] whose sine is x
Principal value
Many angles share a sine; the inverse returns the one in the principal range, and the others differ by whole turns (or reflections).
Questions
What is arcsin(0.5)?
30° (π/6).
What values are allowed?
Any number for arctangent; −1 to 1 for arcsine and arccosine.
Formulas
arcsin(x) is the angle in [−90°, 90°] whose sine is x
Sources
Limitations
- Angles can be typed in degrees or radians; radians may be written with π (π/3, 2pi/3).