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    Cot 51 Degrees

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

    What is cot 51°?

    Answer

    cot 51° ≈
    0.8098

    Angle in radians: 51° = 17π/60. The point of the angle is in quadrant I, where cotangent is positive.

    ≈ — rounded to 4 decimal places. An exact form of cot 51° in square roots exists, but it is unwieldy — nested radicals.

    cot 51° = cos 51° / sin 51° ≈ 0.8098

    xyOP

    P(cos 51°, sin 51°) ≈ (0.6293, 0.7771)

    C(cot 51°, 1) ≈ (0.8098, 1) — where line OP meets the line y = 1.

    All four functions of 51°
    FunctionExact valueDecimal
    sin 51°—≈ 0.7771
    cos 51°—≈ 0.6293
    tan 51°—≈ 1.2349
    cot 51°—≈ 0.8098

    See Also

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    https://calculat.io/en/number/trigonometry/cot--51Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--51">Cot 51 Degrees: Cotangent of 51° on the Unit Circle</a>Copy
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    Cot 51 Degrees: Cotangent of 51° on the Unit Circle. cot 51° ≈ 0.8098. The cotangent is the ratio x/y of the point at 51° on the unit circle.
    https://calculat.io/en/number/trigonometry/cot--51/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    48°≈ 0.9004
    49°≈ 0.8693
    50°≈ 0.8391
    51°≈ 0.8098
    52°≈ 0.7813
    53°≈ 0.7536
    54°√(5 − 2√5)
    Recalculate with different values ↑

    FAQ

    What is cot 51°?

    cot 51° ≈ 0.8098

    Is there an exact value of cot 51°?

    Yes: 51° 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 51° ≈ 0.8098.

    Why does a calculator show 1.1073 for cot 51?

    The calculator is in radian mode (RAD): it takes cot 51 as the cotangent of 51 radians, cot 51 rad ≈ 1.1073. Switch it to degrees (DEG): cot 51° ≈ 0.8098. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also