Arcsin of 0.3

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arcsin(0.3)?

Answer

arcsin(0.3) ≈
17.4576° ≈ 0.3047 rad

Range: arcsin x is an angle from −90° to 90°, so the answer is unique.

≈ — the value is not a table one; rounded to 4 decimal places.

arcsin(0.3) is the angle α in [−90°, 90°] with sin α = 0.3.

sin 17.4576° ≈ 0.3000

xyOP

α = arcsin(0.3) ≈ 17.4576°

P ≈ (0.9539, 0.3)

P lies on the line y = 0.3 in the right half of the circle, where cos α ≥ 0; highlighted: sin α = 0.3.

All four inverse functions of 0.3
FunctionDegreesRadians
arcsin(0.3)≈ 17.4576°≈ 0.3047
arccos(0.3)≈ 72.5424°≈ 1.2661
arctan(0.3)≈ 16.6992°≈ 0.2915
arccot(0.3)≈ 73.3008°≈ 1.2793

See Also

Recalculate with different values ↑

Arcsine of nearby values

xarcsin x
0.1≈ 5.7392°
1/5≈ 11.5370°
1/4≈ 14.4775°
0.3≈ 17.4576°
2/5≈ 23.5782°
1/230° = π/6
3/5≈ 36.8699°

FAQ

What is arcsin(0.3)?

arcsin(0.3) ≈ 17.4576° ≈ 0.3047 rad

How to convert arcsin(0.3) to radians?

Multiply the angle in degrees by π/180: 17.4576° × π/180 ≈ 0.3047 rad.

Why does a calculator show 0.3047 for arcsin(0.3)?

The calculator is in radian mode (RAD) and gives the angle in radians: arcsin(0.3) ≈ 0.3047 rad. In degrees (DEG) it is ≈ 17.4576°.

See Also