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    Tan 39 Degrees

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

    What is tan 39°?

    Answer

    tan 39° ≈
    0.8098

    Angle in radians: 39° = 13π/60. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. An exact form of tan 39° in square roots exists, but it is unwieldy — nested radicals.

    tan 39° = sin 39° / cos 39° ≈ 0.8098

    xyOP

    P(cos 39°, sin 39°) ≈ (0.7771, 0.6293)

    T(1, tan 39°) ≈ (1, 0.8098) — where line OP meets the line x = 1.

    All four functions of 39°
    FunctionExact valueDecimal
    sin 39°—≈ 0.6293
    cos 39°—≈ 0.7771
    tan 39°—≈ 0.8098
    cot 39°—≈ 1.2349

    See Also

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    https://calculat.io/en/number/trigonometry/tan--39Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--39">Tan 39 Degrees: Tangent of 39° on the Unit Circle</a>Copy
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    Tan 39 Degrees: Tangent of 39° on the Unit Circle. tan 39° ≈ 0.8098. The tangent is the ratio y/x of the point at 39° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--39/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    36°√(5 − 2√5)
    37°≈ 0.7536
    38°≈ 0.7813
    39°≈ 0.8098
    40°≈ 0.8391
    41°≈ 0.8693
    42°≈ 0.9004
    Recalculate with different values ↑

    FAQ

    What is tan 39°?

    tan 39° ≈ 0.8098

    Is there an exact value of tan 39°?

    Yes: 39° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: tan 39° ≈ 0.8098.

    Why does a calculator show 3.6146 for tan 39?

    The calculator is in radian mode (RAD): it takes tan 39 as the tangent of 39 radians, tan 39 rad ≈ 3.6146. Switch it to degrees (DEG): tan 39° ≈ 0.8098. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also