Arcsin Calculator (Inverse Sine)

Find the angle whose sine is a given value.

Angle (°) 30

Angle (rad) 0.5236

Formula: θ = arcsin(x)

Step-by-step with your numbers:

1. Values used:

2. Value (−1 to 1) = 0.5

4. Angle = 30°

5. Angle = 0.5236rad

Did we solve your problem today?

Arcsine answers 'what angle has this sine?', returning a value between −90° and 90°.

The math behind it

arcsin is the inverse of sine, defined only for inputs from −1 to 1, with output in [−90°, 90°].

arcsin(0.5) = 30°.

Why must the input be between −1 and 1?

Because sine never produces values outside that range.