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    Cot 30 Degrees

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

    What is cot 30°?

    Answer

    cot 30° =
    √3 ≈ 1.7321

    Angle in radians: 30° = π/6. The point of the angle is in quadrant I, where cotangent is positive.

    ≈ — rounded to 4 decimal places.

    cot 30° = cos 30° / sin 30° = (√3/2) / (1/2) = √3

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

    cot 30° = (√3/2) / (1/2) = √3

    xyOP

    P(cos 30°, sin 30°) ≈ (0.8660, 0.5)

    C(cot 30°, 1) ≈ (1.7321, 1) — where line OP meets the line y = 1.

    All four functions of 30°
    FunctionExact valueDecimal
    sin 30°1/20.5
    cos 30°√3/2≈ 0.8660
    tan 30°√3/3≈ 0.5774
    cot 30°√3≈ 1.7321

    See Also

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    https://calculat.io/en/number/trigonometry/cot--30Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--30">Cot 30 Degrees: Cotangent of 30° on the Unit Circle</a>Copy
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    Cot 30 Degrees: Cotangent of 30° on the Unit Circle. cot 30° = √3 ≈ 1.7321. The cotangent is the ratio x/y of the point at 30° on the unit circle.
    https://calculat.io/en/number/trigonometry/cot--30/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    27°≈ 1.9626
    28°≈ 1.8807
    29°≈ 1.8040
    30°√3
    31°≈ 1.6643
    32°≈ 1.6003
    33°≈ 1.5399
    Recalculate with different values ↑

    FAQ

    What is cot 30°?

    cot 30° = √3 ≈ 1.7321

    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 30° = √3 ≈ 1.7321.

    Why does a calculator show −0.1561 for cot 30?

    The calculator is in radian mode (RAD): it takes cot 30 as the cotangent of 30 radians, cot 30 rad ≈ −0.1561. Switch it to degrees (DEG): cot 30° = √3 ≈ 1.7321. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also