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    Sin 12 Degrees

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

    What is sin 12°?

    Answer

    sin 12° ≈
    0.2079

    Angle in radians: 12° = π/15. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. An exact form of sin 12° in square roots exists, but it is unwieldy — nested radicals.

    P(cos 12°, sin 12°) ≈ (0.9781, 0.2079)

    xyOP

    P(cos 12°, sin 12°) ≈ (0.9781, 0.2079)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.2079.

    All four functions of 12°
    FunctionExact valueDecimal
    sin 12°—≈ 0.2079
    cos 12°—≈ 0.9781
    tan 12°—≈ 0.2126
    cot 12°—≈ 4.7046

    See Also

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    https://calculat.io/en/number/trigonometry/sin--12Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--12">Sin 12 Degrees: Sine of 12° on the Unit Circle - Calculatio</a>Copy
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    Sin 12 Degrees: Sine of 12° on the Unit Circle. sin 12° ≈ 0.2079. The sine is the y-coordinate of the point at 12° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--12/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    9°≈ 0.1564
    10°≈ 0.1736
    11°≈ 0.1908
    12°≈ 0.2079
    13°≈ 0.2250
    14°≈ 0.2419
    15°(√6 − √2)/4
    Recalculate with different values ↑

    FAQ

    What is sin 12°?

    sin 12° ≈ 0.2079

    Is there an exact value of sin 12°?

    Yes: 12° 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 12° ≈ 0.2079.

    Why does a calculator show −0.5366 for sin 12?

    The calculator is in radian mode (RAD): it takes sin 12 as the sine of 12 radians, sin 12 rad ≈ −0.5366. Switch it to degrees (DEG): sin 12° ≈ 0.2079. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also