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    Cot 400 Degrees

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

    What is cot 400°?

    Answer

    cot 400° ≈
    1.1918

    Angle in radians: 400° = 20π/9. 400° = 360° + 40° — a full turn plus 40°, quadrant I, where cotangent is positive.

    ≈ — rounded to 4 decimal places. cot 400° can't be written with square roots: 400° is not a multiple of 3°.

    cot 400° = cot(400° − 360°) = cot 40°

    cot 400° = cos 400° / sin 400° ≈ 1.1918

    xyOP

    P(cos 400°, sin 400°) ≈ (0.7660, 0.6428)

    C(cot 400°, 1) ≈ (1.1918, 1) — where line OP meets the line y = 1.

    +1 turn: the drawing shows 40°.

    All four functions of 400°
    FunctionExact valueDecimal
    sin 400°—≈ 0.6428
    cos 400°—≈ 0.7660
    tan 400°—≈ 0.8391
    cot 400°—≈ 1.1918

    Reference angle: cot 40° ≈ 1.1918

    See Also

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    https://calculat.io/en/number/trigonometry/cot--400Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--400">Cot 400 Degrees: Cotangent of 400° on the Unit Circle</a>Copy
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    Cot 400 Degrees: Cotangent of 400° on the Unit Circle. cot 400° ≈ 1.1918. The cotangent is the ratio x/y of the point at 400° on the unit circle; 400° reduces to 40°.
    https://calculat.io/en/number/trigonometry/cot--400/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    355°≈ −11.4301
    360°undefined
    390°√3
    400°≈ 1.1918
    450°0
    540°undefined
    570°√3
    Recalculate with different values ↑

    FAQ

    What is cot 400°?

    cot 400° ≈ 1.1918

    Why does cot 400° have no exact value?

    A trigonometric value of a whole number of degrees can be written with square roots only when the angle is a multiple of 3°. 400° is not, so no such exact form exists; the value is used as a decimal: cot 400° ≈ 1.1918.

    Why does a calculator show 0.6173 for cot 400?

    The calculator is in radian mode (RAD): it takes cot 400 as the cotangent of 400 radians, cot 400 rad ≈ 0.6173. Switch it to degrees (DEG): cot 400° ≈ 1.1918. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also