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    Tan 270 Degrees

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

    What is tan 270°?

    Answer

    tan 270°
    is undefined

    Angle in radians: 270° = 3π/2. The point of the angle is on the y-axis: (0, −1).

    cos 270° = 0, and tan = sin / cos: you can't divide by zero, so the value doesn't exist.

    tan 270° = sin 270° / cos 270° = (−1) / 0

    xyOP

    P(cos 270°, sin 270°) = (0, −1)

    Line OP of 270° runs parallel to the line x = 1: they never meet, so tan 270° doesn't exist.

    All four functions of 270°
    FunctionExact valueDecimal
    sin 270°−1−1
    cos 270°00
    tan 270°undefined—
    cot 270°00

    Reference angle: tan 90° is undefined

    See Also

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    https://calculat.io/en/number/trigonometry/tan--270Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--270">Tan 270 Degrees: Tangent of 270° on the Unit Circle</a>Copy
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    Tan 270 Degrees: Tangent of 270° on the Unit Circle. tan 270° is undefined: cos 270° = 0, and tan = sin / cos — division by zero. Why, on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--270/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    240°√3
    252°√(5 + 2√5)
    255°2 + √3
    270°undefined
    285°−2 − √3
    288°−√(5 + 2√5)
    300°−√3
    Recalculate with different values ↑

    FAQ

    What is tan 270°?

    tan 270° is undefined

    Why does tan 270° not exist?

    The point of 270° on the unit circle is (0, −1): cos 270° = 0, and tan = sin / cos would divide by zero. On the unit circle line OP runs parallel to the line x = 1 and never meets it.

    Why does a calculator show −0.1788 for tan 270?

    The calculator is in radian mode (RAD): it takes tan 270 as the tangent of 270 radians, tan 270 rad ≈ −0.1788. Switch it to degrees (DEG): tan 270° is undefined. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also