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    Cot 720 Degrees

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

    What is cot 720°?

    Answer

    cot 720°
    is undefined

    Angle in radians: 720° = 4π. 720° = 2 · 360° — two full turns: the point is on the x-axis, (1, 0).

    sin 720° = 0, and cot = cos / sin: you can't divide by zero, so the value doesn't exist.

    cot 720° = cot(720° − 2 · 360°) = cot 0°

    cot 720° = cos 720° / sin 720° = 1 / 0

    xyOP

    P(cos 720°, sin 720°) = (1, 0)

    Line OP of 720° runs parallel to the line y = 1: they never meet, so cot 720° doesn't exist.

    +2 turns: the drawing shows 0°.

    All four functions of 720°
    FunctionExact valueDecimal
    sin 720°00
    cos 720°11
    tan 720°00
    cot 720°undefined—

    Reference angle: cot 0° is undefined

    See Also

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    https://calculat.io/en/number/trigonometry/cot--720Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--720">Cot 720 Degrees: Cotangent of 720° on the Unit Circle</a>Copy
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    Cot 720 Degrees: Cotangent of 720° on the Unit Circle. cot 720° is undefined: sin 720° = 0, and cot = cos / sin — division by zero. Why, on the unit circle.
    https://calculat.io/en/number/trigonometry/cot--720/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 720°?

    cot 720° is undefined

    Why does cot 720° not exist?

    720° ends at the same point as 0°, (1, 0): sin 720° = 0, and cot = cos / sin would divide by zero. On the unit circle line OP runs parallel to the line y = 1 and never meets it.

    Why does a calculator show 1.5421 for cot 720?

    The calculator is in radian mode (RAD): it takes cot 720 as the cotangent of 720 radians, cot 720 rad ≈ 1.5421. Switch it to degrees (DEG): cot 720° is undefined. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also