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    Cot 20 Degrees

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

    What is cot 20°?

    Answer

    cot 20° ≈
    2.7475

    Angle in radians: 20° = π/9. The point of the angle is in quadrant I, where cotangent is positive.

    ≈ — rounded to 4 decimal places. cot 20° can't be written with square roots: 20° is not a multiple of 3°.

    cot 20° = cos 20° / sin 20° ≈ 2.7475

    xyOP

    P(cos 20°, sin 20°) ≈ (0.9397, 0.3420)

    C(cot 20°, 1) ≈ (2.7475, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

    All four functions of 20°
    FunctionExact valueDecimal
    sin 20°—≈ 0.3420
    cos 20°—≈ 0.9397
    tan 20°—≈ 0.3640
    cot 20°—≈ 2.7475

    See Also

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    https://calculat.io/en/number/trigonometry/cot--20Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--20">Cot 20 Degrees: Cotangent of 20° on the Unit Circle</a>Copy
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    Cot 20 Degrees: Cotangent of 20° on the Unit Circle. cot 20° ≈ 2.7475. The cotangent is the ratio x/y of the point at 20° on the unit circle.
    https://calculat.io/en/number/trigonometry/cot--20/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    17°≈ 3.2709
    18°√(5 + 2√5)
    19°≈ 2.9042
    20°≈ 2.7475
    21°≈ 2.6051
    22°≈ 2.4751
    23°≈ 2.3559
    Recalculate with different values ↑

    FAQ

    What is cot 20°?

    cot 20° ≈ 2.7475

    Why does cot 20° 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°. 20° is not, so no such exact form exists; the value is used as a decimal: cot 20° ≈ 2.7475.

    Why does a calculator show 0.4470 for cot 20?

    The calculator is in radian mode (RAD): it takes cot 20 as the cotangent of 20 radians, cot 20 rad ≈ 0.4470. Switch it to degrees (DEG): cot 20° ≈ 2.7475. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also