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    Sin 11 Degrees

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

    What is sin 11°?

    Answer

    sin 11° ≈
    0.1908

    Angle in radians: 11° = 11π/180. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 11° can't be written with square roots: 11° is not a multiple of 3°.

    P(cos 11°, sin 11°) ≈ (0.9816, 0.1908)

    xyOP

    P(cos 11°, sin 11°) ≈ (0.9816, 0.1908)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.1908.

    All four functions of 11°
    FunctionExact valueDecimal
    sin 11°—≈ 0.1908
    cos 11°—≈ 0.9816
    tan 11°—≈ 0.1944
    cot 11°—≈ 5.1446

    See Also

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    <a href="https://calculat.io/en/number/trigonometry/sin--11">Sin 11 Degrees: Sine of 11° on the Unit Circle - Calculatio</a>Copy
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    Sin 11 Degrees: Sine of 11° on the Unit Circle. sin 11° ≈ 0.1908. The sine is the y-coordinate of the point at 11° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--11/generated.jpgCopy

    FAQ

    What is sin 11°?

    sin 11° ≈ 0.1908

    Why does sin 11° 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°. 11° is not, so no such exact form exists; the value is used as a decimal: sin 11° ≈ 0.1908.

    Why does a calculator show −1.0000 for sin 11?

    The calculator is in radian mode (RAD): it takes sin 11 as the sine of 11 radians, sin 11 rad ≈ −1.0000. Switch it to degrees (DEG): sin 11° ≈ 0.1908. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.