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    Tan 89 Degrees

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

    What is tan 89°?

    Answer

    tan 89° ≈
    57.2900

    Angle in radians: 89° = 89π/180. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 89° can't be written with square roots: 89° is not a multiple of 3°.

    tan 89° = sin 89° / cos 89° ≈ 57.2900

    xyOP

    P(cos 89°, sin 89°) ≈ (0.0175, 0.9998)

    T(1, tan 89°) ≈ (1, 57.2900) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

    All four functions of 89°
    FunctionExact valueDecimal
    sin 89°—≈ 0.9998
    cos 89°—≈ 0.0175
    tan 89°—≈ 57.2900
    cot 89°—≈ 0.0175

    See Also

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    https://calculat.io/en/number/trigonometry/tan--89Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--89">Tan 89 Degrees: Tangent of 89° on the Unit Circle</a>Copy
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    Tan 89 Degrees: Tangent of 89° on the Unit Circle. tan 89° ≈ 57.2900. The tangent is the ratio y/x of the point at 89° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--89/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    86°≈ 14.3007
    87°≈ 19.0811
    88°≈ 28.6363
    89°≈ 57.2900
    90°undefined
    97°≈ −8.1443
    98°≈ −7.1154
    Recalculate with different values ↑

    FAQ

    What is tan 89°?

    tan 89° ≈ 57.2900

    Why does tan 89° 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°. 89° is not, so no such exact form exists; the value is used as a decimal: tan 89° ≈ 57.2900.

    Why does a calculator show 1.6858 for tan 89?

    The calculator is in radian mode (RAD): it takes tan 89 as the tangent of 89 radians, tan 89 rad ≈ 1.6858. Switch it to degrees (DEG): tan 89° ≈ 57.2900. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also