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    Cot 10 Degrees

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

    What is cot 10°?

    Answer

    cot 10° ≈
    5.6713

    Angle in radians: 10° = π/18. The point of the angle is in quadrant I, where cotangent is positive.

    ≈ — rounded to 4 decimal places. cot 10° can't be written with square roots: 10° is not a multiple of 3°.

    cot 10° = cos 10° / sin 10° ≈ 5.6713

    xyOP

    P(cos 10°, sin 10°) ≈ (0.9848, 0.1736)

    C(cot 10°, 1) ≈ (5.6713, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

    All four functions of 10°
    FunctionExact valueDecimal
    sin 10°—≈ 0.1736
    cos 10°—≈ 0.9848
    tan 10°—≈ 0.1763
    cot 10°—≈ 5.6713

    See Also

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    https://calculat.io/en/number/trigonometry/cot--10Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--10">Cot 10 Degrees: Cotangent of 10° on the Unit Circle</a>Copy
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    Cot 10 Degrees: Cotangent of 10° on the Unit Circle. cot 10° ≈ 5.6713. The cotangent is the ratio x/y of the point at 10° on the unit circle.
    https://calculat.io/en/number/trigonometry/cot--10/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    7°≈ 8.1443
    8°≈ 7.1154
    9°≈ 6.3138
    10°≈ 5.6713
    11°≈ 5.1446
    12°≈ 4.7046
    13°≈ 4.3315
    Recalculate with different values ↑

    FAQ

    What is cot 10°?

    cot 10° ≈ 5.6713

    Why does cot 10° 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°. 10° is not, so no such exact form exists; the value is used as a decimal: cot 10° ≈ 5.6713.

    Why does a calculator show 1.5424 for cot 10?

    The calculator is in radian mode (RAD): it takes cot 10 as the cotangent of 10 radians, cot 10 rad ≈ 1.5424. Switch it to degrees (DEG): cot 10° ≈ 5.6713. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also