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    Cot 360 Degrees

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

    What is cot 360°?

    Answer

    cot 360°
    is undefined

    Angle in radians: 360° = 2π. 360° is a full turn: the point is on the x-axis, (1, 0).

    sin 360° = 0, and cot = cos / sin: you can't divide by zero, so the value doesn't exist.

    cot 360° = cot(360° − 360°) = cot 0°

    cot 360° = cos 360° / sin 360° = 1 / 0

    xyOP

    P(cos 360°, sin 360°) = (1, 0)

    Line OP of 360° runs parallel to the line y = 1: they never meet, so cot 360° doesn't exist.

    +1 turn: the drawing shows 0°.

    All four functions of 360°
    FunctionExact valueDecimal
    sin 360°00
    cos 360°11
    tan 360°00
    cot 360°undefined—

    Reference angle: cot 0° is undefined

    See Also

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    https://calculat.io/en/number/trigonometry/cot--360Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--360">Cot 360 Degrees: Cotangent of 360° on the Unit Circle</a>Copy
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    Cot 360 Degrees: Cotangent of 360° on the Unit Circle. cot 360° is undefined: sin 360° = 0, and cot = cos / sin — division by zero. Why, on the unit circle.
    https://calculat.io/en/number/trigonometry/cot--360/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    342°−√(5 + 2√5)
    345°−2 − √3
    355°≈ −11.4301
    360°undefined
    390°√3
    400°≈ 1.1918
    450°0
    Recalculate with different values ↑

    FAQ

    What is cot 360°?

    cot 360° is undefined

    Why does cot 360° not exist?

    360° ends at the same point as 0°, (1, 0): sin 360° = 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 −0.2958 for cot 360?

    The calculator is in radian mode (RAD): it takes cot 360 as the cotangent of 360 radians, cot 360 rad ≈ −0.2958. Switch it to degrees (DEG): cot 360° 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