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    Tan 8 Degrees

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

    What is tan 8°?

    Answer

    tan 8° ≈
    0.1405

    Angle in radians: 8° = 2π/45. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 8° can't be written with square roots: 8° is not a multiple of 3°.

    tan 8° = sin 8° / cos 8° ≈ 0.1405

    xyOP

    P(cos 8°, sin 8°) ≈ (0.9903, 0.1392)

    T(1, tan 8°) ≈ (1, 0.1405) — where line OP meets the line x = 1.

    All four functions of 8°
    FunctionExact valueDecimal
    sin 8°—≈ 0.1392
    cos 8°—≈ 0.9903
    tan 8°—≈ 0.1405
    cot 8°—≈ 7.1154

    See Also

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    https://calculat.io/en/number/trigonometry/tan--8Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--8">Tan 8 Degrees: Tangent of 8° on the Unit Circle - Calculatio</a>Copy
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    Tan 8 Degrees: Tangent of 8° on the Unit Circle. tan 8° ≈ 0.1405. The tangent is the ratio y/x of the point at 8° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--8/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    5°≈ 0.0875
    6°≈ 0.1051
    7°≈ 0.1228
    8°≈ 0.1405
    9°≈ 0.1584
    10°≈ 0.1763
    11°≈ 0.1944
    Recalculate with different values ↑

    FAQ

    What is tan 8°?

    tan 8° ≈ 0.1405

    Why does tan 8° 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°. 8° is not, so no such exact form exists; the value is used as a decimal: tan 8° ≈ 0.1405.

    Why does a calculator show −6.7997 for tan 8?

    The calculator is in radian mode (RAD): it takes tan 8 as the tangent of 8 radians, tan 8 rad ≈ −6.7997. Switch it to degrees (DEG): tan 8° ≈ 0.1405. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also