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    Tan 57 Degrees

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

    What is tan 57°?

    Answer

    tan 57° ≈
    1.5399

    Angle in radians: 57° = 19π/60. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. An exact form of tan 57° in square roots exists, but it is unwieldy — nested radicals.

    tan 57° = sin 57° / cos 57° ≈ 1.5399

    xyOP

    P(cos 57°, sin 57°) ≈ (0.5446, 0.8387)

    T(1, tan 57°) ≈ (1, 1.5399) — where line OP meets the line x = 1.

    All four functions of 57°
    FunctionExact valueDecimal
    sin 57°—≈ 0.8387
    cos 57°—≈ 0.5446
    tan 57°—≈ 1.5399
    cot 57°—≈ 0.6494

    See Also

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    https://calculat.io/en/number/trigonometry/tan--57Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--57">Tan 57 Degrees: Tangent of 57° on the Unit Circle</a>Copy
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    Tan 57 Degrees: Tangent of 57° on the Unit Circle. tan 57° ≈ 1.5399. The tangent is the ratio y/x of the point at 57° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--57/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    54°√(25 + 10√5)/5
    55°≈ 1.4281
    56°≈ 1.4826
    57°≈ 1.5399
    58°≈ 1.6003
    59°≈ 1.6643
    60°√3
    Recalculate with different values ↑

    FAQ

    What is tan 57°?

    tan 57° ≈ 1.5399

    Is there an exact value of tan 57°?

    Yes: 57° 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 57° ≈ 1.5399.

    Why does a calculator show 0.4847 for tan 57?

    The calculator is in radian mode (RAD): it takes tan 57 as the tangent of 57 radians, tan 57 rad ≈ 0.4847. Switch it to degrees (DEG): tan 57° ≈ 1.5399. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also