Arccos of 3/5

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arccos(3/5)?

Answer

arccos(3/5) ≈
53.1301° ≈ 0.9273 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.

3/5 = 0.6.

arccos(3/5) is the angle α in [0°, 180°] with cos α = 3/5.

cos 53.1301° ≈ 0.6000

xyOP

α = arccos(3/5) ≈ 53.1301°

P = (0.6, 0.8)

P lies on the line x = 3/5 in the upper half of the circle, where sin α ≥ 0; highlighted: cos α = 3/5.

All four inverse functions of 3/5
FunctionDegreesRadians
arcsin(3/5)≈ 36.8699°≈ 0.6435
arccos(3/5)≈ 53.1301°≈ 0.9273
arctan(3/5)≈ 30.9638°≈ 0.5404
arccot(3/5)≈ 59.0362°≈ 1.0304

See Also

FAQ

What is arccos(3/5)?

arccos(3/5) ≈ 53.1301° ≈ 0.9273 rad

How to convert arccos(3/5) 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 arccos(3/5)?

The calculator is in radian mode (RAD) and gives the angle in radians: arccos(3/5) ≈ 0.9273 rad. In degrees (DEG) it is ≈ 53.1301°.