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    Cos 6 Degrees

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

    What is cos 6°?

    Answer

    cos 6° ≈
    0.9945

    Angle in radians: 6° = π/30. The point of the angle is in quadrant I, where cosine is positive.

    ≈ — rounded to 4 decimal places. An exact form of cos 6° in square roots exists, but it is unwieldy — nested radicals.

    P(cos 6°, sin 6°) ≈ (0.9945, 0.1045)

    xyOP

    P(cos 6°, sin 6°) ≈ (0.9945, 0.1045)

    Highlighted: the projection on the x-axis — cosine, x ≈ 0.9945.

    All four functions of 6°
    FunctionExact valueDecimal
    sin 6°—≈ 0.1045
    cos 6°—≈ 0.9945
    tan 6°—≈ 0.1051
    cot 6°—≈ 9.5144

    See Also

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    <a href="https://calculat.io/en/number/trigonometry/cos--6">Cos 6 Degrees: Cosine of 6° on the Unit Circle - Calculatio</a>Copy
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    Cos 6 Degrees: Cosine of 6° on the Unit Circle. cos 6° ≈ 0.9945. The cosine is the x-coordinate of the point at 6° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--6/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    3°≈ 0.9986
    4°≈ 0.9976
    5°≈ 0.9962
    6°≈ 0.9945
    7°≈ 0.9925
    8°≈ 0.9903
    9°≈ 0.9877
    Recalculate with different values ↑

    FAQ

    What is cos 6°?

    cos 6° ≈ 0.9945

    Is there an exact value of cos 6°?

    Yes: 6° 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 6° ≈ 0.9945.

    Why does a calculator show 0.9602 for cos 6?

    The calculator is in radian mode (RAD): it takes cos 6 as the cosine of 6 radians, cos 6 rad ≈ 0.9602. Switch it to degrees (DEG): cos 6° ≈ 0.9945. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also