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    Sin 10 Degrees

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

    What is sin 10°?

    Answer

    sin 10° ≈
    0.1736

    Angle in radians: 10° = π/18. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 10° can't be written with square roots: 10° is not a multiple of 3°.

    P(cos 10°, sin 10°) ≈ (0.9848, 0.1736)

    xyOP

    P(cos 10°, sin 10°) ≈ (0.9848, 0.1736)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.1736.

    All four functions of 10°
    FunctionExact valueDecimal
    sin 10°—≈ 0.1736
    cos 10°—≈ 0.9848
    tan 10°—≈ 0.1763
    cot 10°—≈ 5.6713

    See Also

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    https://calculat.io/en/number/trigonometry/sin--10Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--10">Sin 10 Degrees: Sine of 10° on the Unit Circle - Calculatio</a>Copy
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    Sin 10 Degrees: Sine of 10° on the Unit Circle. sin 10° ≈ 0.1736. The sine is the y-coordinate of the point at 10° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--10/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    7°≈ 0.1219
    8°≈ 0.1392
    9°≈ 0.1564
    10°≈ 0.1736
    11°≈ 0.1908
    12°≈ 0.2079
    13°≈ 0.2250
    Recalculate with different values ↑

    FAQ

    What is sin 10°?

    sin 10° ≈ 0.1736

    Why does sin 10° 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°. 10° is not, so no such exact form exists; the value is used as a decimal: sin 10° ≈ 0.1736.

    Why does a calculator show −0.5440 for sin 10?

    The calculator is in radian mode (RAD): it takes sin 10 as the sine of 10 radians, sin 10 rad ≈ −0.5440. Switch it to degrees (DEG): sin 10° ≈ 0.1736. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also