Arcsin of 1/5

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arcsin(1/5)?

Answer

arcsin(1/5) ≈
11.5370° ≈ 0.2014 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.

1/5 = 0.2.

arcsin(1/5) is the angle α in [−90°, 90°] with sin α = 1/5.

sin 11.5370° ≈ 0.2000

xyOP

α = arcsin(1/5) ≈ 11.5370°

P ≈ (0.9798, 0.2)

P lies on the line y = 1/5 in the right half of the circle, where cos α ≥ 0; highlighted: sin α = 1/5.

All four inverse functions of 1/5
FunctionDegreesRadians
arcsin(1/5)≈ 11.5370°≈ 0.2014
arccos(1/5)≈ 78.4630°≈ 1.3694
arctan(1/5)≈ 11.3099°≈ 0.1974
arccot(1/5)≈ 78.6901°≈ 1.3734

See Also

Recalculate with different values ↑

Arcsine of nearby values

xarcsin x
−0.3≈ −17.4576°
00° = 0
0.1≈ 5.7392°
1/5≈ 11.5370°
1/4≈ 14.4775°
0.3≈ 17.4576°
2/5≈ 23.5782°

FAQ

What is arcsin(1/5)?

arcsin(1/5) ≈ 11.5370° ≈ 0.2014 rad

How to convert arcsin(1/5) to radians?

Multiply the angle in degrees by π/180: 11.5370° × π/180 ≈ 0.2014 rad.

Why does a calculator show 0.2014 for arcsin(1/5)?

The calculator is in radian mode (RAD) and gives the angle in radians: arcsin(1/5) ≈ 0.2014 rad. In degrees (DEG) it is ≈ 11.5370°.

See Also