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    Cos 3 Degrees

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

    What is cos 3°?

    Answer

    cos 3° ≈
    0.9986

    Angle in radians: 3° = π/60. The point of the angle is in quadrant I, where cosine is positive.

    ≈ — rounded to 4 decimal places. An exact form of cos 3° in square roots exists, but it is unwieldy — nested radicals.

    P(cos 3°, sin 3°) ≈ (0.9986, 0.0523)

    xyOP

    P(cos 3°, sin 3°) ≈ (0.9986, 0.0523)

    Highlighted: the projection on the x-axis — cosine, x ≈ 0.9986.

    All four functions of 3°
    FunctionExact valueDecimal
    sin 3°—≈ 0.0523
    cos 3°—≈ 0.9986
    tan 3°—≈ 0.0524
    cot 3°—≈ 19.0811

    See Also

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    <a href="https://calculat.io/en/number/trigonometry/cos--3">Cos 3 Degrees: Cosine of 3° on the Unit Circle - Calculatio</a>Copy
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    Cos 3 Degrees: Cosine of 3° on the Unit Circle. cos 3° ≈ 0.9986. The cosine is the x-coordinate of the point at 3° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--3/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    0°1
    1°≈ 0.9998
    2°≈ 0.9994
    3°≈ 0.9986
    4°≈ 0.9976
    5°≈ 0.9962
    6°≈ 0.9945
    Recalculate with different values ↑

    FAQ

    What is cos 3°?

    cos 3° ≈ 0.9986

    Is there an exact value of cos 3°?

    Yes: 3° 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 3° ≈ 0.9986.

    Why does a calculator show −0.9900 for cos 3?

    The calculator is in radian mode (RAD): it takes cos 3 as the cosine of 3 radians, cos 3 rad ≈ −0.9900. Switch it to degrees (DEG): cos 3° ≈ 0.9986. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also