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    Cot 27 Degrees

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

    What is cot 27°?

    Answer

    cot 27° ≈
    1.9626

    Angle in radians: 27° = 3π/20. The point of the angle is in quadrant I, where cotangent is positive.

    ≈ — rounded to 4 decimal places. An exact form of cot 27° in square roots exists, but it is unwieldy — nested radicals.

    cot 27° = cos 27° / sin 27° ≈ 1.9626

    xyOP

    P(cos 27°, sin 27°) ≈ (0.8910, 0.4540)

    C(cot 27°, 1) ≈ (1.9626, 1) — where line OP meets the line y = 1.

    All four functions of 27°
    FunctionExact valueDecimal
    sin 27°—≈ 0.4540
    cos 27°—≈ 0.8910
    tan 27°—≈ 0.5095
    cot 27°—≈ 1.9626

    See Also

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    https://calculat.io/en/number/trigonometry/cot--27Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--27">Cot 27 Degrees: Cotangent of 27° on the Unit Circle</a>Copy
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    Cot 27 Degrees: Cotangent of 27° on the Unit Circle. cot 27° ≈ 1.9626. The cotangent is the ratio x/y of the point at 27° on the unit circle.
    https://calculat.io/en/number/trigonometry/cot--27/generated.jpgCopy

    FAQ

    What is cot 27°?

    cot 27° ≈ 1.9626

    Is there an exact value of cot 27°?

    Yes: 27° 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 27° ≈ 1.9626.

    Why does a calculator show −0.3055 for cot 27?

    The calculator is in radian mode (RAD): it takes cot 27 as the cotangent of 27 radians, cot 27 rad ≈ −0.3055. Switch it to degrees (DEG): cot 27° ≈ 1.9626. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.