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    Tan 125 Degrees

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

    What is tan 125°?

    Answer

    tan 125° ≈
    −1.4281

    Angle in radians: 125° = 25π/36. The point of the angle is in quadrant II, where tangent is negative.

    ≈ — rounded to 4 decimal places. tan 125° can't be written with square roots: 125° is not a multiple of 3°.

    tan 125° = tan(180° − 55°) = −tan 55° ≈ −1.4281

    tan 125° = sin 125° / cos 125° ≈ −1.4281

    xyOP

    P(cos 125°, sin 125°) ≈ (−0.5736, 0.8192)

    T(1, tan 125°) ≈ (1, −1.4281) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

    All four functions of 125°
    FunctionExact valueDecimal
    sin 125°—≈ 0.8192
    cos 125°—≈ −0.5736
    tan 125°—≈ −1.4281
    cot 125°—≈ −0.7002

    Reference angle: tan 55° ≈ 1.4281

    See Also

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    https://calculat.io/en/number/trigonometry/tan--125Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--125">Tan 125 Degrees: Tangent of 125° on the Unit Circle</a>Copy
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    Tan 125 Degrees: Tangent of 125° on the Unit Circle. tan 125° ≈ −1.4281. The tangent is the ratio y/x of the point at 125° on the unit circle; 125° reduces to 55°.
    https://calculat.io/en/number/trigonometry/tan--125/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    108°−√(5 + 2√5)
    110°≈ −2.7475
    120°−√3
    125°≈ −1.4281
    126°−√(25 + 10√5)/5
    127°≈ −1.3270
    130°≈ −1.1918
    Recalculate with different values ↑

    FAQ

    What is tan 125°?

    tan 125° ≈ −1.4281

    Why does tan 125° 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°. 125° is not, so no such exact form exists; the value is used as a decimal: tan 125° ≈ −1.4281.

    Why does a calculator show −0.7821 for tan 125?

    The calculator is in radian mode (RAD): it takes tan 125 as the tangent of 125 radians, tan 125 rad ≈ −0.7821. Switch it to degrees (DEG): tan 125° ≈ −1.4281. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also