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    Tan 10 Degrees

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

    What is tan 10°?

    Answer

    tan 10° ≈
    0.1763

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

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

    tan 10° = sin 10° / cos 10° ≈ 0.1763

    xyOP

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

    T(1, tan 10°) ≈ (1, 0.1763) — where line OP meets the line x = 1.

    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/tan--10Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--10">Tan 10 Degrees: Tangent of 10° on the Unit Circle</a>Copy
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    Tan 10 Degrees: Tangent of 10° on the Unit Circle. tan 10° ≈ 0.1763. The tangent is the ratio y/x of the point at 10° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--10/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    7°≈ 0.1228
    8°≈ 0.1405
    9°≈ 0.1584
    10°≈ 0.1763
    11°≈ 0.1944
    12°≈ 0.2126
    13°≈ 0.2309
    Recalculate with different values ↑

    FAQ

    What is tan 10°?

    tan 10° ≈ 0.1763

    Why does tan 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: tan 10° ≈ 0.1763.

    Why does a calculator show 0.6484 for tan 10?

    The calculator is in radian mode (RAD): it takes tan 10 as the tangent of 10 radians, tan 10 rad ≈ 0.6484. Switch it to degrees (DEG): tan 10° ≈ 0.1763. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also