Arccos of 3/4

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arccos(3/4)?

Answer

arccos(3/4) ≈
41.4096° ≈ 0.7227 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.

3/4 = 0.75.

arccos(3/4) is the angle α in [0°, 180°] with cos α = 3/4.

cos 41.4096° ≈ 0.7500

xyOP

α = arccos(3/4) ≈ 41.4096°

P ≈ (0.75, 0.6614)

P lies on the line x = 3/4 in the upper half of the circle, where sin α ≥ 0; highlighted: cos α = 3/4.

All four inverse functions of 3/4
FunctionDegreesRadians
arcsin(3/4)≈ 48.5904°≈ 0.8481
arccos(3/4)≈ 41.4096°≈ 0.7227
arctan(3/4)≈ 36.8699°≈ 0.6435
arccot(3/4)≈ 53.1301°≈ 0.9273

See Also

FAQ

What is arccos(3/4)?

arccos(3/4) ≈ 41.4096° ≈ 0.7227 rad

How to convert arccos(3/4) to radians?

Multiply the angle in degrees by π/180: 41.4096° × π/180 ≈ 0.7227 rad.

Why does a calculator show 0.7227 for arccos(3/4)?

The calculator is in radian mode (RAD) and gives the angle in radians: arccos(3/4) ≈ 0.7227 rad. In degrees (DEG) it is ≈ 41.4096°.