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    Tan 12 Degrees

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

    What is tan 12°?

    Answer

    tan 12° ≈
    0.2126

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

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

    tan 12° = sin 12° / cos 12° ≈ 0.2126

    xyOP

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

    T(1, tan 12°) ≈ (1, 0.2126) — where line OP meets the line x = 1.

    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/tan--12Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--12">Tan 12 Degrees: Tangent of 12° on the Unit Circle</a>Copy
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    Tan 12 Degrees: Tangent of 12° on the Unit Circle. tan 12° ≈ 0.2126. The tangent is the ratio y/x of the point at 12° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--12/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    9°≈ 0.1584
    10°≈ 0.1763
    11°≈ 0.1944
    12°≈ 0.2126
    13°≈ 0.2309
    14°≈ 0.2493
    15°2 − √3
    Recalculate with different values ↑

    FAQ

    What is tan 12°?

    tan 12° ≈ 0.2126

    Is there an exact value of tan 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: tan 12° ≈ 0.2126.

    Why does a calculator show −0.6359 for tan 12?

    The calculator is in radian mode (RAD): it takes tan 12 as the tangent of 12 radians, tan 12 rad ≈ −0.6359. Switch it to degrees (DEG): tan 12° ≈ 0.2126. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also