Arcsin of 0.9

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arcsin(0.9)?

Answer

arcsin(0.9) ≈
64.1581° ≈ 1.1198 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(0.9) is the angle α in [−90°, 90°] with sin α = 0.9.

sin 64.1581° ≈ 0.9000

xyOP

α = arcsin(0.9) ≈ 64.1581°

P ≈ (0.4359, 0.9)

P lies on the line y = 0.9 in the right half of the circle, where cos α ≥ 0; highlighted: sin α = 0.9.

All four inverse functions of 0.9
FunctionDegreesRadians
arcsin(0.9)≈ 64.1581°≈ 1.1198
arccos(0.9)≈ 25.8419°≈ 0.4510
arctan(0.9)≈ 41.9872°≈ 0.7328
arccot(0.9)≈ 48.0128°≈ 0.8380

See Also

Recalculate with different values ↑

Arcsine of nearby values

xarcsin x
3/4≈ 48.5904°
4/5≈ 53.1301°
√3/260° = π/3
0.9≈ 64.1581°
190° = π/2
3/2does not exist
2does not exist

FAQ

What is arcsin(0.9)?

arcsin(0.9) ≈ 64.1581° ≈ 1.1198 rad

How to convert arcsin(0.9) to radians?

Multiply the angle in degrees by π/180: 64.1581° × π/180 ≈ 1.1198 rad.

Why does a calculator show 1.1198 for arcsin(0.9)?

The calculator is in radian mode (RAD) and gives the angle in radians: arcsin(0.9) ≈ 1.1198 rad. In degrees (DEG) it is ≈ 64.1581°.

See Also