Arccos of 4/7

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arccos(4/7)?

Answer

arccos(4/7) ≈
55.1501° ≈ 0.9626 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(4/7) is the angle α in [0°, 180°] with cos α = 4/7.

cos 55.1501° ≈ 0.5714

xyOP

α = arccos(4/7) ≈ 55.1501°

P ≈ (0.5714, 0.8207)

P lies on the line x = 4/7 in the upper half of the circle, where sin α ≥ 0; highlighted: cos α = 4/7.

All four inverse functions of 4/7
FunctionDegreesRadians
arcsin(4/7)≈ 34.8499°≈ 0.6082
arccos(4/7)≈ 55.1501°≈ 0.9626
arctan(4/7)≈ 29.7449°≈ 0.5191
arccot(4/7)≈ 60.2551°≈ 1.0517

See Also

FAQ

What is arccos(4/7)?

arccos(4/7) ≈ 55.1501° ≈ 0.9626 rad

How to convert arccos(4/7) to radians?

Multiply the angle in degrees by π/180: 55.1501° × π/180 ≈ 0.9626 rad.

Why does a calculator show 0.9626 for arccos(4/7)?

The calculator is in radian mode (RAD) and gives the angle in radians: arccos(4/7) ≈ 0.9626 rad. In degrees (DEG) it is ≈ 55.1501°.