Arcsin of 4/5

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arcsin(4/5)?

Answer

arcsin(4/5) ≈
53.1301° ≈ 0.9273 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.

4/5 = 0.8.

arcsin(4/5) is the angle α in [−90°, 90°] with sin α = 4/5.

sin 53.1301° ≈ 0.8000

xyOP

α = arcsin(4/5) ≈ 53.1301°

P = (0.6, 0.8)

P lies on the line y = 4/5 in the right half of the circle, where cos α ≥ 0; highlighted: sin α = 4/5.

All four inverse functions of 4/5
FunctionDegreesRadians
arcsin(4/5)≈ 53.1301°≈ 0.9273
arccos(4/5)≈ 36.8699°≈ 0.6435
arctan(4/5)≈ 38.6598°≈ 0.6747
arccot(4/5)≈ 51.3402°≈ 0.8961

See Also

Recalculate with different values ↑

Arcsine of nearby values

xarcsin x
0.7≈ 44.4270°
√2/245° = π/4
3/4≈ 48.5904°
4/5≈ 53.1301°
√3/260° = π/3
0.9≈ 64.1581°
190° = π/2

FAQ

What is arcsin(4/5)?

arcsin(4/5) ≈ 53.1301° ≈ 0.9273 rad

How to convert arcsin(4/5) to radians?

Multiply the angle in degrees by π/180: 53.1301° × π/180 ≈ 0.9273 rad.

Why does a calculator show 0.9273 for arcsin(4/5)?

The calculator is in radian mode (RAD) and gives the angle in radians: arcsin(4/5) ≈ 0.9273 rad. In degrees (DEG) it is ≈ 53.1301°.

See Also