Arcsin of 0.1

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arcsin(0.1)?

Answer

arcsin(0.1) ≈
5.7392° ≈ 0.1002 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(0.1) is the angle α in [−90°, 90°] with sin α = 0.1.

sin 5.7392° ≈ 0.1000

xyOP

α = arcsin(0.1) ≈ 5.7392°

P ≈ (0.9950, 0.1)

P lies on the line y = 0.1 in the right half of the circle, where cos α ≥ 0; highlighted: sin α = 0.1.

All four inverse functions of 0.1
FunctionDegreesRadians
arcsin(0.1)≈ 5.7392°≈ 0.1002
arccos(0.1)≈ 84.2608°≈ 1.4706
arctan(0.1)≈ 5.7106°≈ 0.0997
arccot(0.1)≈ 84.2894°≈ 1.4711

See Also

Recalculate with different values ↑

Arcsine of nearby values

xarcsin x
−1/2−30° = −π/6
−0.3≈ −17.4576°
00° = 0
0.1≈ 5.7392°
1/5≈ 11.5370°
1/4≈ 14.4775°
0.3≈ 17.4576°

FAQ

What is arcsin(0.1)?

arcsin(0.1) ≈ 5.7392° ≈ 0.1002 rad

How to convert arcsin(0.1) to radians?

Multiply the angle in degrees by π/180: 5.7392° × π/180 ≈ 0.1002 rad.

Why does a calculator show 0.1002 for arcsin(0.1)?

The calculator is in radian mode (RAD) and gives the angle in radians: arcsin(0.1) ≈ 0.1002 rad. In degrees (DEG) it is ≈ 5.7392°.

See Also