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    Tan 179 Degrees

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

    What is tan 179°?

    Answer

    tan 179° ≈
    −0.0175

    Angle in radians: 179° = 179π/180. The point of the angle is in quadrant II, where tangent is negative.

    ≈ — rounded to 4 decimal places. tan 179° can't be written with square roots: 179° is not a multiple of 3°.

    tan 179° = tan(180° − 1°) = −tan 1° ≈ −0.0175

    tan 179° = sin 179° / cos 179° ≈ −0.0175

    xyOP

    P(cos 179°, sin 179°) ≈ (−0.9998, 0.0175)

    T(1, tan 179°) ≈ (1, −0.0175) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

    All four functions of 179°
    FunctionExact valueDecimal
    sin 179°—≈ 0.0175
    cos 179°—≈ −0.9998
    tan 179°—≈ −0.0175
    cot 179°—≈ −57.2900

    Reference angle: tan 1° ≈ 0.0175

    See Also

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    https://calculat.io/en/number/trigonometry/tan--179Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--179">Tan 179 Degrees: Tangent of 179° on the Unit Circle</a>Copy
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    Tan 179 Degrees: Tangent of 179° on the Unit Circle. tan 179° ≈ −0.0175. The tangent is the ratio y/x of the point at 179° on the unit circle; 179° reduces to 1°.
    https://calculat.io/en/number/trigonometry/tan--179/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    165°√3 − 2
    167°≈ −0.2309
    175°≈ −0.0875
    179°≈ −0.0175
    180°0
    195°2 − √3
    198°√(25 − 10√5)/5
    Recalculate with different values ↑

    FAQ

    What is tan 179°?

    tan 179° ≈ −0.0175

    Why does tan 179° 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°. 179° is not, so no such exact form exists; the value is used as a decimal: tan 179° ≈ −0.0175.

    Why does a calculator show −0.0709 for tan 179?

    The calculator is in radian mode (RAD): it takes tan 179 as the tangent of 179 radians, tan 179 rad ≈ −0.0709. Switch it to degrees (DEG): tan 179° ≈ −0.0175. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also