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Arcsin Calculator (Inverse Sine)
Enter value between -1 and 1. Hit the Calculate button to get the arcsine using inverse sine calculator.
Table of Contents:
Arcsin calculator finds angle of a triangle in degrees and radians for the given value. However, the value should be between -1 and 1 to get the arcsin in degrees. It converts the sine into inverse to find the angle of triangle.
What is arcsine?
The arcsine of x is defined as the inverse sine function of x when -1≤x≤1. It is the inverse trigonometric function of sine.
When the sine of y is equal to x:
sin y = x
Then the arcsine of x is equal to the inverse sine function of x, which is equal to y:
arcsin x = sin^{-1} x = y
How to find arcsin?
To calculate the arcsine for a triangle, follow the below example.
Example:
x = 0.5
Arcsin(x) = ?
Solution:
Step 1: Place the value of x in arcsine function.
Arcsin(0.5)
Step 2: Take the sin^{-1} of 0.5 in calculator (scientific).
Arcsin(0.5) = sin^{-1}(0.5) = 30°
Note: Arcsin of 0 is 0 degree.
Arcsin table
x | arcsin(x) in degree | arcsin(x) in radian |
-1 | -90° | -π/2 |
-√3/2 | -60° | -π/3 |
-√2/2 | -45° | -π/4 |
-1/2 | -30° | -π/6 |
0 | 0° | 0 |
1/2 | 30° | π/6 |
√2/2 | 45° | π/4 |
√3/2 | 60° | π/3 |
1 | 90° | π/2 |