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    Cos 24 Degrees

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

    What is cos 24°?

    Answer

    cos 24° ≈
    0.9135

    Angle in radians: 24° = 2π/15. The point of the angle is in quadrant I, where cosine is positive.

    ≈ — rounded to 4 decimal places. An exact form of cos 24° in square roots exists, but it is unwieldy — nested radicals.

    P(cos 24°, sin 24°) ≈ (0.9135, 0.4067)

    xyOP

    P(cos 24°, sin 24°) ≈ (0.9135, 0.4067)

    Highlighted: the projection on the x-axis — cosine, x ≈ 0.9135.

    All four functions of 24°
    FunctionExact valueDecimal
    sin 24°—≈ 0.4067
    cos 24°—≈ 0.9135
    tan 24°—≈ 0.4452
    cot 24°—≈ 2.2460

    See Also

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    https://calculat.io/en/number/trigonometry/cos--24Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--24">Cos 24 Degrees: Cosine of 24° on the Unit Circle</a>Copy
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    Cos 24 Degrees: Cosine of 24° on the Unit Circle. cos 24° ≈ 0.9135. The cosine is the x-coordinate of the point at 24° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--24/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    21°≈ 0.9336
    22°≈ 0.9272
    23°≈ 0.9205
    24°≈ 0.9135
    25°≈ 0.9063
    26°≈ 0.8988
    27°≈ 0.8910
    Recalculate with different values ↑

    FAQ

    What is cos 24°?

    cos 24° ≈ 0.9135

    Is there an exact value of cos 24°?

    Yes: 24° 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 24° ≈ 0.9135.

    Why does a calculator show 0.4242 for cos 24?

    The calculator is in radian mode (RAD): it takes cos 24 as the cosine of 24 radians, cos 24 rad ≈ 0.4242. Switch it to degrees (DEG): cos 24° ≈ 0.9135. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also