Language
English English Vietnamese (Tiếng Việt) Vietnamese (Tiếng Việt) Chinese (简体中文) Chinese (简体中文) Portuguese (Brazil) (Português do Brasil) Portuguese (Brazil) (Português do Brasil) Spanish (Español) Spanish (Español) Indonesian (Bahasa Indonesia) Indonesian (Bahasa Indonesia)

Arcsin Calculator

Calculate the inverse sine (arcsin) to find the angle from a sine value. Input must be between -1 and 1.

The arcsine function (arcsin or sin⁻¹) is the inverse of the sine function. Given a value between -1 and 1, it returns the angle whose sine equals that value. The result is always in the range [-90°, 90°] or [-π/2, π/2] radians.

  1. Enter a value between -1 and 1
  2. Select DEG to see result in degrees, or RAD for radians
  3. The angle is calculated automatically
  4. Both degree and radian values are shown
  • Calculate inverse sine for any valid value
  • Results in both degrees and radians
  • Input validation for domain [-1, 1]
  • Shows verification: sin(result) = input
  • Real-time calculation
Why must input be between -1 and 1?
Because sine function only outputs values in the range [-1, 1]. No angle has a sine greater than 1 or less than -1.
What is arcsin(0.5)?
arcsin(0.5) = 30° or π/6 radians. This means sin(30°) = 0.5.
What is the difference between arcsin and sin⁻¹?
They are the same function. arcsin(x) = sin⁻¹(x). Note: sin⁻¹(x) ≠ 1/sin(x).
Enter angle
°
sin(0°) 0
Formula
Degrees Radians sin cos tan
0010
30°π/61/2√3/2√3/3
45°π/4√2/2√2/21
60°π/3√3/21/2√3
90°π/210
120°2π/3√3/2−1/2−√3
135°3π/4√2/2−√2/2−1
150°5π/61/2−√3/2−√3/3
180°π0−10
Input value must be between -1 and 1
Result is the angle in the range [-90°, 90°]
arcsin(x) is also written as sin⁻¹(x)
Want to learn more? Read documentation →
1/4
Start typing to search...
Searching...
No results found
Try searching with different keywords