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    Cot 9 Degrees

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

    What is cot 9°?

    Answer

    cot 9° ≈
    6.3138

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

    ≈ — rounded to 4 decimal places. An exact form of cot 9° in square roots exists, but it is unwieldy — nested radicals.

    cot 9° = cos 9° / sin 9° ≈ 6.3138

    xyOP

    P(cos 9°, sin 9°) ≈ (0.9877, 0.1564)

    C(cot 9°, 1) ≈ (6.3138, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

    All four functions of 9°
    FunctionExact valueDecimal
    sin 9°—≈ 0.1564
    cos 9°—≈ 0.9877
    tan 9°—≈ 0.1584
    cot 9°—≈ 6.3138

    See Also

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    https://calculat.io/en/number/trigonometry/cot--9Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--9">Cot 9 Degrees: Cotangent of 9° on the Unit Circle</a>Copy
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    Cot 9 Degrees: Cotangent of 9° on the Unit Circle. cot 9° ≈ 6.3138. The cotangent is the ratio x/y of the point at 9° on the unit circle.
    https://calculat.io/en/number/trigonometry/cot--9/generated.jpgCopy

    FAQ

    What is cot 9°?

    cot 9° ≈ 6.3138

    Is there an exact value of cot 9°?

    Yes: 9° 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 9° ≈ 6.3138.

    Why does a calculator show −2.2108 for cot 9?

    The calculator is in radian mode (RAD): it takes cot 9 as the cotangent of 9 radians, cot 9 rad ≈ −2.2108. Switch it to degrees (DEG): cot 9° ≈ 6.3138. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.