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    Tan 40 Degrees

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

    What is tan 40°?

    Answer

    tan 40° ≈
    0.8391

    Angle in radians: 40° = 2π/9. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 40° can't be written with square roots: 40° is not a multiple of 3°.

    tan 40° = sin 40° / cos 40° ≈ 0.8391

    xyOP

    P(cos 40°, sin 40°) ≈ (0.7660, 0.6428)

    T(1, tan 40°) ≈ (1, 0.8391) — where line OP meets the line x = 1.

    All four functions of 40°
    FunctionExact valueDecimal
    sin 40°—≈ 0.6428
    cos 40°—≈ 0.7660
    tan 40°—≈ 0.8391
    cot 40°—≈ 1.1918

    See Also

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    https://calculat.io/en/number/trigonometry/tan--40Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--40">Tan 40 Degrees: Tangent of 40° on the Unit Circle</a>Copy
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    Tan 40 Degrees: Tangent of 40° on the Unit Circle. tan 40° ≈ 0.8391. The tangent is the ratio y/x of the point at 40° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--40/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    37°≈ 0.7536
    38°≈ 0.7813
    39°≈ 0.8098
    40°≈ 0.8391
    41°≈ 0.8693
    42°≈ 0.9004
    43°≈ 0.9325
    Recalculate with different values ↑

    FAQ

    What is tan 40°?

    tan 40° ≈ 0.8391

    Why does tan 40° 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°. 40° is not, so no such exact form exists; the value is used as a decimal: tan 40° ≈ 0.8391.

    Why does a calculator show −1.1172 for tan 40?

    The calculator is in radian mode (RAD): it takes tan 40 as the tangent of 40 radians, tan 40 rad ≈ −1.1172. Switch it to degrees (DEG): tan 40° ≈ 0.8391. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also