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    Cot 24 Degrees

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

    What is cot 24°?

    Answer

    cot 24° ≈
    2.2460

    Angle in radians: 24° = 2π/15. The point of the angle is in quadrant I, where cotangent is positive.

    ≈ — rounded to 4 decimal places. An exact form of cot 24° in square roots exists, but it is unwieldy — nested radicals.

    cot 24° = cos 24° / sin 24° ≈ 2.2460

    xyOP

    P(cos 24°, sin 24°) ≈ (0.9135, 0.4067)

    C(cot 24°, 1) ≈ (2.2460, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

    All four functions of 24°
    FunctionExact valueDecimal
    sin 24°—≈ 0.4067
    cos 24°—≈ 0.9135
    tan 24°—≈ 0.4452
    cot 24°—≈ 2.2460

    See Also

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    https://calculat.io/en/number/trigonometry/cot--24Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--24">Cot 24 Degrees: Cotangent of 24° on the Unit Circle</a>Copy
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    Cot 24 Degrees: Cotangent of 24° on the Unit Circle. cot 24° ≈ 2.2460. The cotangent is the ratio x/y of the point at 24° on the unit circle.
    https://calculat.io/en/number/trigonometry/cot--24/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    21°≈ 2.6051
    22°≈ 2.4751
    23°≈ 2.3559
    24°≈ 2.2460
    25°≈ 2.1445
    26°≈ 2.0503
    27°≈ 1.9626
    Recalculate with different values ↑

    FAQ

    What is cot 24°?

    cot 24° ≈ 2.2460

    Is there an exact value of cot 24°?

    Yes: 24° 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 24° ≈ 2.2460.

    Why does a calculator show −0.4684 for cot 24?

    The calculator is in radian mode (RAD): it takes cot 24 as the cotangent of 24 radians, cot 24 rad ≈ −0.4684. Switch it to degrees (DEG): cot 24° ≈ 2.2460. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also