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    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

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    https://calculat.io/en/number/trigonometry/cot--60Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--60">Cot 60 Degrees: Cotangent of 60° on the Unit Circle</a>Copy
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    Cot 60 Degrees: Cotangent of 60° on the Unit Circle. cot 60° = √3/3 ≈ 0.5774. The cotangent is the ratio x/y of the point at 60° on the unit circle.
    https://calculat.io/en/number/trigonometry/cot--60/generated.jpgCopy

    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
    Recalculate with different values ↑

    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