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    Tan 80 Degrees

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

    What is tan 80°?

    Answer

    tan 80° ≈
    5.6713

    Angle in radians: 80° = 4π/9. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 80° can't be written with square roots: 80° is not a multiple of 3°.

    tan 80° = sin 80° / cos 80° ≈ 5.6713

    xyOP

    P(cos 80°, sin 80°) ≈ (0.1736, 0.9848)

    T(1, tan 80°) ≈ (1, 5.6713) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

    All four functions of 80°
    FunctionExact valueDecimal
    sin 80°—≈ 0.9848
    cos 80°—≈ 0.1736
    tan 80°—≈ 5.6713
    cot 80°—≈ 0.1763

    See Also

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    https://calculat.io/en/number/trigonometry/tan--80Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--80">Tan 80 Degrees: Tangent of 80° on the Unit Circle</a>Copy
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    Tan 80 Degrees: Tangent of 80° on the Unit Circle. tan 80° ≈ 5.6713. The tangent is the ratio y/x of the point at 80° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--80/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    77°≈ 4.3315
    78°≈ 4.7046
    79°≈ 5.1446
    80°≈ 5.6713
    81°≈ 6.3138
    82°≈ 7.1154
    83°≈ 8.1443
    Recalculate with different values ↑

    FAQ

    What is tan 80°?

    tan 80° ≈ 5.6713

    Why does tan 80° 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°. 80° is not, so no such exact form exists; the value is used as a decimal: tan 80° ≈ 5.6713.

    Why does a calculator show 9.0037 for tan 80?

    The calculator is in radian mode (RAD): it takes tan 80 as the tangent of 80 radians, tan 80 rad ≈ 9.0037. Switch it to degrees (DEG): tan 80° ≈ 5.6713. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also