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    Cot 5 Degrees

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

    What is cot 5°?

    Answer

    cot 5° ≈
    11.4301

    Angle in radians: 5° = π/36. The point of the angle is in quadrant I, where cotangent is positive.

    ≈ — rounded to 4 decimal places. cot 5° can't be written with square roots: 5° is not a multiple of 3°.

    cot 5° = cos 5° / sin 5° ≈ 11.4301

    xyOP

    P(cos 5°, sin 5°) ≈ (0.9962, 0.0872)

    C(cot 5°, 1) ≈ (11.4301, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

    All four functions of 5°
    FunctionExact valueDecimal
    sin 5°—≈ 0.0872
    cos 5°—≈ 0.9962
    tan 5°—≈ 0.0875
    cot 5°—≈ 11.4301

    See Also

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    https://calculat.io/en/number/trigonometry/cot--5Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--5">Cot 5 Degrees: Cotangent of 5° on the Unit Circle</a>Copy
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    Cot 5 Degrees: Cotangent of 5° on the Unit Circle. cot 5° ≈ 11.4301. The cotangent is the ratio x/y of the point at 5° on the unit circle.
    https://calculat.io/en/number/trigonometry/cot--5/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    2°≈ 28.6363
    3°≈ 19.0811
    4°≈ 14.3007
    5°≈ 11.4301
    6°≈ 9.5144
    7°≈ 8.1443
    8°≈ 7.1154
    Recalculate with different values ↑

    FAQ

    What is cot 5°?

    cot 5° ≈ 11.4301

    Why does cot 5° 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°. 5° is not, so no such exact form exists; the value is used as a decimal: cot 5° ≈ 11.4301.

    Why does a calculator show −0.2958 for cot 5?

    The calculator is in radian mode (RAD): it takes cot 5 as the cotangent of 5 radians, cot 5 rad ≈ −0.2958. Switch it to degrees (DEG): cot 5° ≈ 11.4301. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also