Arccos of 0.9

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arccos(0.9)?

Answer

arccos(0.9) ≈
25.8419° ≈ 0.4510 rad

Range: arccos x is an angle from 0° to 180°, so the answer is unique.

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

arccos(0.9) is the angle α in [0°, 180°] with cos α = 0.9.

cos 25.8419° ≈ 0.9000

xyOP

α = arccos(0.9) ≈ 25.8419°

P ≈ (0.9, 0.4359)

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

FAQ

What is arccos(0.9)?

arccos(0.9) ≈ 25.8419° ≈ 0.4510 rad

How to convert arccos(0.9) to radians?

Multiply the angle in degrees by π/180: 25.8419° × π/180 ≈ 0.4510 rad.

Why does a calculator show 0.4510 for arccos(0.9)?

The calculator is in radian mode (RAD) and gives the angle in radians: arccos(0.9) ≈ 0.4510 rad. In degrees (DEG) it is ≈ 25.8419°.