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    Tan 360 Degrees

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

    What is tan 360°?

    Answer

    tan 360° =
    0

    Angle in radians: 360° = 2π. 360° is a full turn: the point is on the x-axis, (1, 0).

    tan 360° = tan(360° − 360°) = tan 0°

    tan 360° = sin 360° / cos 360° = 0 / 1 = 0

    xyOP

    P(cos 360°, sin 360°) = (1, 0)

    T(1, tan 360°) = (1, 0) — where line OP meets the line x = 1.

    +1 turn: the drawing shows 0°.

    All four functions of 360°
    FunctionExact valueDecimal
    sin 360°00
    cos 360°11
    tan 360°00
    cot 360°undefined—

    Reference angle: tan 0° = 0

    See Also

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    https://calculat.io/en/number/trigonometry/tan--360Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--360">Tan 360 Degrees: Tangent of 360° on the Unit Circle</a>Copy
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    Tan 360 Degrees: Tangent of 360° on the Unit Circle. tan 360° = 0. The tangent is the ratio y/x of the point at 360° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--360/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    342°−√(25 − 10√5)/5
    345°√3 − 2
    355°≈ −0.0875
    360°0
    390°√3/3
    400°≈ 0.8391
    450°undefined
    Recalculate with different values ↑

    FAQ

    What is tan 360°?

    tan 360° = 0

    Why is tan 360° equal to 0?

    360° ends at the same point as 0°, (1, 0), and tan = y / x = 0 / 1 = 0.

    Why does a calculator show −3.3801 for tan 360?

    The calculator is in radian mode (RAD): it takes tan 360 as the tangent of 360 radians, tan 360 rad ≈ −3.3801. Switch it to degrees (DEG): tan 360° = 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