# Inverse Sine Calculator

Trigonometric inverse sine calculator

Between -1 and 1

## #What is inverse sine?

Inverse sine is the inverse of basic sine function. In the sine function, value of angle θ is taken to give the ratio opposite/hypotenuse. However, inverse sine function takes the ratio opposite/hypotenuse and gives angle θ.

sin-1 (opposite/hypotenuse) = θ

## Inverse sine symbol

Inverse sine is represented as sin-1 or arcsin.

## #Inverse sine rule

The rule for inverse sine is derived from the rule of sine function which is:

a/sin⁡(A) = b/sin⁡(B) = c/sin⁡(C)

Now, we’ll derive the rule for side a, the rule for the remaining sides will be exactly the same

a/sin⁡(A) = k

a = sin (A) k

Taking sin-1 on both sides

sin-1 a = sin-1 [sin (A) * k]

sin-1 a = k

Here, k represents any given constant value

## #Inverse sine table

arcsin(-1.0) -90.00 -1.57
-π / 2
arcsin(-0.9) -64.15 -1.11
arcsin(-0.8) -53.13 -0.92
arcsin(-0.7) -44.42 -0.77
arcsin(-0.6) -36.86 -0.64
arcsin(-0.5) -30.00 -0.52
-π / 6
arcsin(-0.4) -23.57 -0.41
arcsin(-0.3) -17.45 -0.30
arcsin(-0.2) -11.53 -0.20
arcsin(-0.1) -5.73 -0.10
arcsin(0.0) 0.00 0.00
arcsin(0.1) 5.73 0.10
arcsin(0.2) 11.53 0.20
arcsin(0.3) 17.45 0.30
arcsin(0.4) 23.57 0.41
arcsin(0.5) 30.00 0.52
π / 6
arcsin(0.6) 36.86 0.64
arcsin(0.7) 44.42 0.77
arcsin(0.8) 53.13 0.92
arcsin(0.9) 64.15 1.11
arcsin(1.0) 90.00 1.57
π / 2