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    Tan 127 Degrees

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

    What is tan 127°?

    Answer

    tan 127° ≈
    −1.3270

    Angle in radians: 127° = 127π/180. The point of the angle is in quadrant II, where tangent is negative.

    ≈ — rounded to 4 decimal places. tan 127° can't be written with square roots: 127° is not a multiple of 3°.

    tan 127° = tan(180° − 53°) = −tan 53° ≈ −1.3270

    tan 127° = sin 127° / cos 127° ≈ −1.3270

    xyOP

    P(cos 127°, sin 127°) ≈ (−0.6018, 0.7986)

    T(1, tan 127°) ≈ (1, −1.3270) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

    All four functions of 127°
    FunctionExact valueDecimal
    sin 127°—≈ 0.7986
    cos 127°—≈ −0.6018
    tan 127°—≈ −1.3270
    cot 127°—≈ −0.7536

    Reference angle: tan 53° ≈ 1.3270

    See Also

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    https://calculat.io/en/number/trigonometry/tan--127Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--127">Tan 127 Degrees: Tangent of 127° on the Unit Circle</a>Copy
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    Tan 127 Degrees: Tangent of 127° on the Unit Circle. tan 127° ≈ −1.3270. The tangent is the ratio y/x of the point at 127° on the unit circle; 127° reduces to 53°.
    https://calculat.io/en/number/trigonometry/tan--127/generated.jpgCopy

    FAQ

    What is tan 127°?

    tan 127° ≈ −1.3270

    Why does tan 127° 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°. 127° is not, so no such exact form exists; the value is used as a decimal: tan 127° ≈ −1.3270.

    Why does a calculator show 4.1859 for tan 127?

    The calculator is in radian mode (RAD): it takes tan 127 as the tangent of 127 radians, tan 127 rad ≈ 4.1859. Switch it to degrees (DEG): tan 127° ≈ −1.3270. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.