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    Tan 180 Degrees

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

    What is tan 180°?

    Answer

    tan 180° =
    0

    Angle in radians: 180° = π. The point of the angle is on the x-axis: (−1, 0).

    tan 180° = sin 180° / cos 180° = 0 / (−1) = 0

    xyOP

    P(cos 180°, sin 180°) = (−1, 0)

    T(1, tan 180°) = (1, 0) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

    All four functions of 180°
    FunctionExact valueDecimal
    sin 180°00
    cos 180°−1−1
    tan 180°00
    cot 180°undefined—

    Reference angle: tan 0° = 0

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    https://calculat.io/en/number/trigonometry/tan--180Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--180">Tan 180 Degrees: Tangent of 180° on the Unit Circle</a>Copy
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    Tan 180 Degrees: Tangent of 180° on the Unit Circle. tan 180° = 0. The tangent is the ratio y/x of the point at 180° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--180/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    167°≈ −0.2309
    175°≈ −0.0875
    179°≈ −0.0175
    180°0
    195°2 − √3
    198°√(25 − 10√5)/5
    200°≈ 0.3640
    Recalculate with different values ↑

    FAQ

    What is tan 180°?

    tan 180° = 0

    Why is tan 180° equal to 0?

    The point of 180° on the unit circle is (−1, 0), and tan = y / x = 0 / (−1) = 0.

    Why does a calculator show 1.3387 for tan 180?

    The calculator is in radian mode (RAD): it takes tan 180 as the tangent of 180 radians, tan 180 rad ≈ 1.3387. Switch it to degrees (DEG): tan 180° = 0. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also