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    Cot 3 Degrees

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

    What is cot 3°?

    Answer

    cot 3° ≈
    19.0811

    Angle in radians: 3° = π/60. The point of the angle is in quadrant I, where cotangent is positive.

    ≈ — rounded to 4 decimal places. An exact form of cot 3° in square roots exists, but it is unwieldy — nested radicals.

    cot 3° = cos 3° / sin 3° ≈ 19.0811

    xyOP

    P(cos 3°, sin 3°) ≈ (0.9986, 0.0523)

    C(cot 3°, 1) ≈ (19.0811, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

    All four functions of 3°
    FunctionExact valueDecimal
    sin 3°—≈ 0.0523
    cos 3°—≈ 0.9986
    tan 3°—≈ 0.0524
    cot 3°—≈ 19.0811

    See Also

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    https://calculat.io/en/number/trigonometry/cot--3Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--3">Cot 3 Degrees: Cotangent of 3° on the Unit Circle</a>Copy
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    Cot 3 Degrees: Cotangent of 3° on the Unit Circle. cot 3° ≈ 19.0811. The cotangent is the ratio x/y of the point at 3° on the unit circle.
    https://calculat.io/en/number/trigonometry/cot--3/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    0°undefined
    1°≈ 57.2900
    2°≈ 28.6363
    3°≈ 19.0811
    4°≈ 14.3007
    5°≈ 11.4301
    6°≈ 9.5144
    Recalculate with different values ↑

    FAQ

    What is cot 3°?

    cot 3° ≈ 19.0811

    Is there an exact value of cot 3°?

    Yes: 3° 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 3° ≈ 19.0811.

    Why does a calculator show −7.0153 for cot 3?

    The calculator is in radian mode (RAD): it takes cot 3 as the cotangent of 3 radians, cot 3 rad ≈ −7.0153. Switch it to degrees (DEG): cot 3° ≈ 19.0811. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also