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    Cot 12 Degrees

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

    What is cot 12°?

    Answer

    cot 12° ≈
    4.7046

    Angle in radians: 12° = π/15. The point of the angle is in quadrant I, where cotangent is positive.

    ≈ — rounded to 4 decimal places. An exact form of cot 12° in square roots exists, but it is unwieldy — nested radicals.

    cot 12° = cos 12° / sin 12° ≈ 4.7046

    xyOP

    P(cos 12°, sin 12°) ≈ (0.9781, 0.2079)

    C(cot 12°, 1) ≈ (4.7046, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

    All four functions of 12°
    FunctionExact valueDecimal
    sin 12°—≈ 0.2079
    cos 12°—≈ 0.9781
    tan 12°—≈ 0.2126
    cot 12°—≈ 4.7046

    See Also

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    https://calculat.io/en/number/trigonometry/cot--12Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--12">Cot 12 Degrees: Cotangent of 12° on the Unit Circle</a>Copy
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    Cot 12 Degrees: Cotangent of 12° on the Unit Circle. cot 12° ≈ 4.7046. The cotangent is the ratio x/y of the point at 12° on the unit circle.
    https://calculat.io/en/number/trigonometry/cot--12/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    9°≈ 6.3138
    10°≈ 5.6713
    11°≈ 5.1446
    12°≈ 4.7046
    13°≈ 4.3315
    14°≈ 4.0108
    15°2 + √3
    Recalculate with different values ↑

    FAQ

    What is cot 12°?

    cot 12° ≈ 4.7046

    Is there an exact value of cot 12°?

    Yes: 12° 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 12° ≈ 4.7046.

    Why does a calculator show −1.5727 for cot 12?

    The calculator is in radian mode (RAD): it takes cot 12 as the cotangent of 12 radians, cot 12 rad ≈ −1.5727. Switch it to degrees (DEG): cot 12° ≈ 4.7046. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also