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    Tan 51 Degrees

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

    What is tan 51°?

    Answer

    tan 51° ≈
    1.2349

    Angle in radians: 51° = 17π/60. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. An exact form of tan 51° in square roots exists, but it is unwieldy — nested radicals.

    tan 51° = sin 51° / cos 51° ≈ 1.2349

    xyOP

    P(cos 51°, sin 51°) ≈ (0.6293, 0.7771)

    T(1, tan 51°) ≈ (1, 1.2349) — where line OP meets the line x = 1.

    All four functions of 51°
    FunctionExact valueDecimal
    sin 51°—≈ 0.7771
    cos 51°—≈ 0.6293
    tan 51°—≈ 1.2349
    cot 51°—≈ 0.8098

    See Also

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    https://calculat.io/en/number/trigonometry/tan--51Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--51">Tan 51 Degrees: Tangent of 51° on the Unit Circle</a>Copy
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    Tan 51 Degrees: Tangent of 51° on the Unit Circle. tan 51° ≈ 1.2349. The tangent is the ratio y/x of the point at 51° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--51/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    48°≈ 1.1106
    49°≈ 1.1504
    50°≈ 1.1918
    51°≈ 1.2349
    52°≈ 1.2799
    53°≈ 1.3270
    54°√(25 + 10√5)/5
    Recalculate with different values ↑

    FAQ

    What is tan 51°?

    tan 51° ≈ 1.2349

    Is there an exact value of tan 51°?

    Yes: 51° 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 51° ≈ 1.2349.

    Why does a calculator show 0.9031 for tan 51?

    The calculator is in radian mode (RAD): it takes tan 51 as the tangent of 51 radians, tan 51 rad ≈ 0.9031. Switch it to degrees (DEG): tan 51° ≈ 1.2349. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also