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    Sin 8 Degrees

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

    What is sin 8°?

    Answer

    sin 8° ≈
    0.1392

    Angle in radians: 8° = 2π/45. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 8° can't be written with square roots: 8° is not a multiple of 3°.

    P(cos 8°, sin 8°) ≈ (0.9903, 0.1392)

    xyOP

    P(cos 8°, sin 8°) ≈ (0.9903, 0.1392)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.1392.

    All four functions of 8°
    FunctionExact valueDecimal
    sin 8°—≈ 0.1392
    cos 8°—≈ 0.9903
    tan 8°—≈ 0.1405
    cot 8°—≈ 7.1154

    See Also

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    https://calculat.io/en/number/trigonometry/sin--8Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--8">Sin 8 Degrees: Sine of 8° on the Unit Circle - Calculatio</a>Copy
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    Sin 8 Degrees: Sine of 8° on the Unit Circle. sin 8° ≈ 0.1392. The sine is the y-coordinate of the point at 8° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--8/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    5°≈ 0.0872
    6°≈ 0.1045
    7°≈ 0.1219
    8°≈ 0.1392
    9°≈ 0.1564
    10°≈ 0.1736
    11°≈ 0.1908
    Recalculate with different values ↑

    FAQ

    What is sin 8°?

    sin 8° ≈ 0.1392

    Why does sin 8° 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°. 8° is not, so no such exact form exists; the value is used as a decimal: sin 8° ≈ 0.1392.

    Why does a calculator show 0.9894 for sin 8?

    The calculator is in radian mode (RAD): it takes sin 8 as the sine of 8 radians, sin 8 rad ≈ 0.9894. Switch it to degrees (DEG): sin 8° ≈ 0.1392. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also