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    Cos 27 Degrees

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

    What is cos 27°?

    Answer

    cos 27° ≈
    0.8910

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

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

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

    xyOP

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

    Highlighted: the projection on the x-axis — cosine, x ≈ 0.8910.

    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/cos--27Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--27">Cos 27 Degrees: Cosine of 27° on the Unit Circle</a>Copy
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    Cos 27 Degrees: Cosine of 27° on the Unit Circle. cos 27° ≈ 0.8910. The cosine is the x-coordinate of the point at 27° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--27/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    24°≈ 0.9135
    25°≈ 0.9063
    26°≈ 0.8988
    27°≈ 0.8910
    28°≈ 0.8829
    29°≈ 0.8746
    30°√3/2
    Recalculate with different values ↑

    FAQ

    What is cos 27°?

    cos 27° ≈ 0.8910

    Is there an exact value of cos 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: cos 27° ≈ 0.8910.

    Why does a calculator show −0.2921 for cos 27?

    The calculator is in radian mode (RAD): it takes cos 27 as the cosine of 27 radians, cos 27 rad ≈ −0.2921. Switch it to degrees (DEG): cos 27° ≈ 0.8910. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also