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    Tan 140 Degrees

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

    What is tan 140°?

    Answer

    tan 140° ≈
    −0.8391

    Angle in radians: 140° = 7π/9. The point of the angle is in quadrant II, where tangent is negative.

    ≈ — rounded to 4 decimal places. tan 140° can't be written with square roots: 140° is not a multiple of 3°.

    tan 140° = tan(180° − 40°) = −tan 40° ≈ −0.8391

    tan 140° = sin 140° / cos 140° ≈ −0.8391

    xyOP

    P(cos 140°, sin 140°) ≈ (−0.7660, 0.6428)

    T(1, tan 140°) ≈ (1, −0.8391) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

    All four functions of 140°
    FunctionExact valueDecimal
    sin 140°—≈ 0.6428
    cos 140°—≈ −0.7660
    tan 140°—≈ −0.8391
    cot 140°—≈ −1.1918

    Reference angle: tan 40° ≈ 0.8391

    See Also

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    https://calculat.io/en/number/trigonometry/tan--140Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--140">Tan 140 Degrees: Tangent of 140° on the Unit Circle</a>Copy
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    Tan 140 Degrees: Tangent of 140° on the Unit Circle. tan 140° ≈ −0.8391. The tangent is the ratio y/x of the point at 140° on the unit circle; 140° reduces to 40°.
    https://calculat.io/en/number/trigonometry/tan--140/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    130°≈ −1.1918
    134°≈ −1.0355
    135°−1
    140°≈ −0.8391
    142°≈ −0.7813
    144°−√(5 − 2√5)
    145°≈ −0.7002
    Recalculate with different values ↑

    FAQ

    What is tan 140°?

    tan 140° ≈ −0.8391

    Why does tan 140° 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°. 140° is not, so no such exact form exists; the value is used as a decimal: tan 140° ≈ −0.8391.

    Why does a calculator show −4.9554 for tan 140?

    The calculator is in radian mode (RAD): it takes tan 140 as the tangent of 140 radians, tan 140 rad ≈ −4.9554. Switch it to degrees (DEG): tan 140° ≈ −0.8391. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also