Arccot of 1

Arcsin, Arccos, Arctan, Arccot

What is arccot(1)?

Answer

arccot(1) =

45° = π/4

Range: arccot x is an angle strictly between 0° and 180°, so the answer is unique.

arccot(1) is the angle α in (0°, 180°) with cot α = 1.

α = arccot(1) = 45°

P(cos 45°, sin 45°) = (√2/2, √2/2)

C(1, 1) is where line OP meets the line y = 1; highlighted: cot α = 1.

arccot(1) = 45° = π/4

Look in the table for the angle α in (0°, 180°) with cot α = 1: it is 45°, or π/4 in radians.

The calculator is in radian mode (RAD) and gives the angle in radians: arccot(1) = π/4 ≈ 0.7854 rad. In degrees (DEG) it is 45°.