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    Cos 12 Degrees

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

    What is cos 12°?

    Answer

    cos 12° ≈
    0.9781

    Angle in radians: 12° = π/15. The point of the angle is in quadrant I, where cosine is positive.

    ≈ — rounded to 4 decimal places. An exact form of cos 12° in square roots exists, but it is unwieldy — nested radicals.

    P(cos 12°, sin 12°) ≈ (0.9781, 0.2079)

    xyOP

    P(cos 12°, sin 12°) ≈ (0.9781, 0.2079)

    Highlighted: the projection on the x-axis — cosine, x ≈ 0.9781.

    All four functions of 12°
    FunctionExact valueDecimal
    sin 12°—≈ 0.2079
    cos 12°—≈ 0.9781
    tan 12°—≈ 0.2126
    cot 12°—≈ 4.7046

    See Also

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    https://calculat.io/en/number/trigonometry/cos--12Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--12">Cos 12 Degrees: Cosine of 12° on the Unit Circle</a>Copy
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    Cos 12 Degrees: Cosine of 12° on the Unit Circle. cos 12° ≈ 0.9781. The cosine is the x-coordinate of the point at 12° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--12/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    9°≈ 0.9877
    10°≈ 0.9848
    11°≈ 0.9816
    12°≈ 0.9781
    13°≈ 0.9744
    14°≈ 0.9703
    15°(√6 + √2)/4
    Recalculate with different values ↑

    FAQ

    What is cos 12°?

    cos 12° ≈ 0.9781

    Is there an exact value of cos 12°?

    Yes: 12° 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 12° ≈ 0.9781.

    Why does a calculator show 0.8439 for cos 12?

    The calculator is in radian mode (RAD): it takes cos 12 as the cosine of 12 radians, cos 12 rad ≈ 0.8439. Switch it to degrees (DEG): cos 12° ≈ 0.9781. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also