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    Cos 10 Degrees

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

    What is cos 10°?

    Answer

    cos 10° ≈
    0.9848

    Angle in radians: 10° = π/18. The point of the angle is in quadrant I, where cosine is positive.

    ≈ — rounded to 4 decimal places. cos 10° can't be written with square roots: 10° is not a multiple of 3°.

    P(cos 10°, sin 10°) ≈ (0.9848, 0.1736)

    xyOP

    P(cos 10°, sin 10°) ≈ (0.9848, 0.1736)

    Highlighted: the projection on the x-axis — cosine, x ≈ 0.9848.

    All four functions of 10°
    FunctionExact valueDecimal
    sin 10°—≈ 0.1736
    cos 10°—≈ 0.9848
    tan 10°—≈ 0.1763
    cot 10°—≈ 5.6713

    See Also

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    https://calculat.io/en/number/trigonometry/cos--10Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--10">Cos 10 Degrees: Cosine of 10° on the Unit Circle</a>Copy
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    Cos 10 Degrees: Cosine of 10° on the Unit Circle. cos 10° ≈ 0.9848. The cosine is the x-coordinate of the point at 10° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--10/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    7°≈ 0.9925
    8°≈ 0.9903
    9°≈ 0.9877
    10°≈ 0.9848
    11°≈ 0.9816
    12°≈ 0.9781
    13°≈ 0.9744
    Recalculate with different values ↑

    FAQ

    What is cos 10°?

    cos 10° ≈ 0.9848

    Why does cos 10° have no exact value?

    A trigonometric value of a whole number of degrees can be written with square roots only when the angle is a multiple of 3°. 10° is not, so no such exact form exists; the value is used as a decimal: cos 10° ≈ 0.9848.

    Why does a calculator show −0.8391 for cos 10?

    The calculator is in radian mode (RAD): it takes cos 10 as the cosine of 10 radians, cos 10 rad ≈ −0.8391. Switch it to degrees (DEG): cos 10° ≈ 0.9848. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also