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    Tan 130 Degrees

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

    What is tan 130°?

    Answer

    tan 130° ≈
    −1.1918

    Angle in radians: 130° = 13π/18. The point of the angle is in quadrant II, where tangent is negative.

    ≈ — rounded to 4 decimal places. tan 130° can't be written with square roots: 130° is not a multiple of 3°.

    tan 130° = tan(180° − 50°) = −tan 50° ≈ −1.1918

    tan 130° = sin 130° / cos 130° ≈ −1.1918

    xyOP

    P(cos 130°, sin 130°) ≈ (−0.6428, 0.7660)

    T(1, tan 130°) ≈ (1, −1.1918) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

    All four functions of 130°
    FunctionExact valueDecimal
    sin 130°—≈ 0.7660
    cos 130°—≈ −0.6428
    tan 130°—≈ −1.1918
    cot 130°—≈ −0.8391

    Reference angle: tan 50° ≈ 1.1918

    See Also

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    https://calculat.io/en/number/trigonometry/tan--130Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--130">Tan 130 Degrees: Tangent of 130° on the Unit Circle</a>Copy
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    Tan 130 Degrees: Tangent of 130° on the Unit Circle. tan 130° ≈ −1.1918. The tangent is the ratio y/x of the point at 130° on the unit circle; 130° reduces to 50°.
    https://calculat.io/en/number/trigonometry/tan--130/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    125°≈ −1.4281
    126°−√(25 + 10√5)/5
    127°≈ −1.3270
    130°≈ −1.1918
    134°≈ −1.0355
    135°−1
    140°≈ −0.8391
    Recalculate with different values ↑

    FAQ

    What is tan 130°?

    tan 130° ≈ −1.1918

    Why does tan 130° 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°. 130° is not, so no such exact form exists; the value is used as a decimal: tan 130° ≈ −1.1918.

    Why does a calculator show 2.5323 for tan 130?

    The calculator is in radian mode (RAD): it takes tan 130 as the tangent of 130 radians, tan 130 rad ≈ 2.5323. Switch it to degrees (DEG): tan 130° ≈ −1.1918. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also