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    Cot 6 Degrees

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

    What is cot 6°?

    Answer

    cot 6° ≈
    9.5144

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

    ≈ — rounded to 4 decimal places. An exact form of cot 6° in square roots exists, but it is unwieldy — nested radicals.

    cot 6° = cos 6° / sin 6° ≈ 9.5144

    xyOP

    P(cos 6°, sin 6°) ≈ (0.9945, 0.1045)

    C(cot 6°, 1) ≈ (9.5144, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

    All four functions of 6°
    FunctionExact valueDecimal
    sin 6°—≈ 0.1045
    cos 6°—≈ 0.9945
    tan 6°—≈ 0.1051
    cot 6°—≈ 9.5144

    See Also

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    https://calculat.io/en/number/trigonometry/cot--6Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--6">Cot 6 Degrees: Cotangent of 6° on the Unit Circle</a>Copy
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    Cot 6 Degrees: Cotangent of 6° on the Unit Circle. cot 6° ≈ 9.5144. The cotangent is the ratio x/y of the point at 6° on the unit circle.
    https://calculat.io/en/number/trigonometry/cot--6/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    3°≈ 19.0811
    4°≈ 14.3007
    5°≈ 11.4301
    6°≈ 9.5144
    7°≈ 8.1443
    8°≈ 7.1154
    9°≈ 6.3138
    Recalculate with different values ↑

    FAQ

    What is cot 6°?

    cot 6° ≈ 9.5144

    Is there an exact value of cot 6°?

    Yes: 6° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: cot 6° ≈ 9.5144.

    Why does a calculator show −3.4364 for cot 6?

    The calculator is in radian mode (RAD): it takes cot 6 as the cotangent of 6 radians, cot 6 rad ≈ −3.4364. Switch it to degrees (DEG): cot 6° ≈ 9.5144. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also