Arccos of 0

Arcsin, Arccos, Arctan, Arccot

What is arccos(0)?

Answer

arccos(0) =

90° = π/2

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

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

α = arccos(0) = 90°

P(cos 90°, sin 90°) = (0, 1)

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

arccos(0) = 90° = π/2

Look in the table for the angle α in [0°, 180°] with cos α = 0: it is 90°, or π/2 in radians.

The calculator is in radian mode (RAD) and gives the angle in radians: arccos(0) = π/2 ≈ 1.5708 rad. In degrees (DEG) it is 90°.