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    Sin 24 Degrees

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

    What is sin 24°?

    Answer

    sin 24° ≈
    0.4067

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

    ≈ — rounded to 4 decimal places. An exact form of sin 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 y-axis — sine, y ≈ 0.4067.

    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/sin--24Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--24">Sin 24 Degrees: Sine of 24° on the Unit Circle - Calculatio</a>Copy
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    Sin 24 Degrees: Sine of 24° on the Unit Circle. sin 24° ≈ 0.4067. The sine is the y-coordinate of the point at 24° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--24/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    21°≈ 0.3584
    22°≈ 0.3746
    23°≈ 0.3907
    24°≈ 0.4067
    25°≈ 0.4226
    26°≈ 0.4384
    27°≈ 0.4540
    Recalculate with different values ↑

    FAQ

    What is sin 24°?

    sin 24° ≈ 0.4067

    Is there an exact value of sin 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: sin 24° ≈ 0.4067.

    Why does a calculator show −0.9056 for sin 24?

    The calculator is in radian mode (RAD): it takes sin 24 as the sine of 24 radians, sin 24 rad ≈ −0.9056. Switch it to degrees (DEG): sin 24° ≈ 0.4067. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also