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    Cot 570 Degrees

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

    What is cot 570°?

    Answer

    cot 570° =
    √3 ≈ 1.7321

    Angle in radians: 570° = 19π/6. 570° = 360° + 210° — a full turn plus 210°, quadrant III, where cotangent is positive.

    ≈ — rounded to 4 decimal places.

    cot 570° = cot(570° − 360°) = cot 210°

    cot 210° = cot(180° + 30°) = cot 30° = √3

    cot 570° = cos 570° / sin 570° = (−√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 570°, sin 570°) ≈ (−0.8660, −0.5)

    C(cot 570°, 1) ≈ (1.7321, 1) — where line OP meets the line y = 1, on the extension of the ray beyond O (dashed).

    +1 turn: the drawing shows 210°.

    All four functions of 570°
    FunctionExact valueDecimal
    sin 570°−1/2−0.5
    cos 570°−√3/2≈ −0.8660
    tan 570°√3/3≈ 0.5774
    cot 570°√3≈ 1.7321

    Reference angle: cot 30° = √3

    See Also

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    https://calculat.io/en/number/trigonometry/cot--570Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--570">Cot 570 Degrees: Cotangent of 570° on the Unit Circle</a>Copy
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    Cot 570 Degrees: Cotangent of 570° on the Unit Circle. cot 570° = √3 ≈ 1.7321. The cotangent is the ratio x/y of the point at 570° on the unit circle; 570° reduces to 30°.
    https://calculat.io/en/number/trigonometry/cot--570/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    390°√3
    400°≈ 1.1918
    450°0
    540°undefined
    570°√3
    690°−√3
    720°undefined
    Recalculate with different values ↑

    FAQ

    What is cot 570°?

    cot 570° = √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 570° = √3 ≈ 1.7321.

    Why does a calculator show 0.2017 for cot 570?

    The calculator is in radian mode (RAD): it takes cot 570 as the cotangent of 570 radians, cot 570 rad ≈ 0.2017. Switch it to degrees (DEG): cot 570° = √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