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    Tan 52 Degrees

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

    What is tan 52°?

    Answer

    tan 52° ≈
    1.2799

    Angle in radians: 52° = 13π/45. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 52° can't be written with square roots: 52° is not a multiple of 3°.

    tan 52° = sin 52° / cos 52° ≈ 1.2799

    xyOP

    P(cos 52°, sin 52°) ≈ (0.6157, 0.7880)

    T(1, tan 52°) ≈ (1, 1.2799) — where line OP meets the line x = 1.

    All four functions of 52°
    FunctionExact valueDecimal
    sin 52°—≈ 0.7880
    cos 52°—≈ 0.6157
    tan 52°—≈ 1.2799
    cot 52°—≈ 0.7813

    See Also

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    https://calculat.io/en/number/trigonometry/tan--52Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--52">Tan 52 Degrees: Tangent of 52° on the Unit Circle</a>Copy
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    Tan 52 Degrees: Tangent of 52° on the Unit Circle. tan 52° ≈ 1.2799. The tangent is the ratio y/x of the point at 52° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--52/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    49°≈ 1.1504
    50°≈ 1.1918
    51°≈ 1.2349
    52°≈ 1.2799
    53°≈ 1.3270
    54°√(25 + 10√5)/5
    55°≈ 1.4281
    Recalculate with different values ↑

    FAQ

    What is tan 52°?

    tan 52° ≈ 1.2799

    Why does tan 52° 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°. 52° is not, so no such exact form exists; the value is used as a decimal: tan 52° ≈ 1.2799.

    Why does a calculator show −6.0533 for tan 52?

    The calculator is in radian mode (RAD): it takes tan 52 as the tangent of 52 radians, tan 52 rad ≈ −6.0533. Switch it to degrees (DEG): tan 52° ≈ 1.2799. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also