Cot 60 Degrees

Sin, Cos, Tan, Cot of an Angle
Function
Angle (°)

What is cot 60°?

Answer

cot 60° =
√3/3 ≈ 0.5774

Angle in radians: 60° = π/3. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places.

cot 60° = cos 60° / sin 60° = (1/2) / (√3/2) = √3/3

Half of an equilateral triangle with side 1: the hypotenuse is 1 and the leg opposite 30° is 1/2.

cot 60° = (1/2) / (√3/2) = 1/√3 = √3/3

xyOP

P(cos 60°, sin 60°) ≈ (0.5, 0.8660)

C(cot 60°, 1) ≈ (0.5774, 1) — where line OP meets the line y = 1.

All four functions of 60°
FunctionExact valueDecimal
sin 60°√3/2≈ 0.8660
cos 60°1/20.5
tan 60°√3≈ 1.7321
cot 60°√3/3≈ 0.5774

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
57°≈ 0.6494
58°≈ 0.6249
59°≈ 0.6009
60°√3/3
61°≈ 0.5543
62°≈ 0.5317
63°≈ 0.5095

FAQ

What is cot 60°?

cot 60° = √3/3 ≈ 0.5774

How to remember sin 30°, sin 45° and sin 60°?

Write them as √1/2, √2/2, √3/2: sin 30° = 1/2, sin 45° = √2/2, sin 60° = √3/2. Cosines are the same numbers in reverse order: cos 30° = √3/2, cos 45° = √2/2, cos 60° = 1/2; tan = sin / cos and cot = cos / sin. Here: cot 60° = √3/3 ≈ 0.5774.

Why does a calculator show 3.1246 for cot 60?

The calculator is in radian mode (RAD): it takes cot 60 as the cotangent of 60 radians, cot 60 rad ≈ 3.1246. Switch it to degrees (DEG): cot 60° = √3/3 ≈ 0.5774. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also