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    Tan 53 Degrees

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

    What is tan 53°?

    Answer

    tan 53° ≈
    1.3270

    Angle in radians: 53° = 53π/180. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 53° can't be written with square roots: 53° is not a multiple of 3°.

    tan 53° = sin 53° / cos 53° ≈ 1.3270

    xyOP

    P(cos 53°, sin 53°) ≈ (0.6018, 0.7986)

    T(1, tan 53°) ≈ (1, 1.3270) — where line OP meets the line x = 1.

    All four functions of 53°
    FunctionExact valueDecimal
    sin 53°—≈ 0.7986
    cos 53°—≈ 0.6018
    tan 53°—≈ 1.3270
    cot 53°—≈ 0.7536

    See Also

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    https://calculat.io/en/number/trigonometry/tan--53Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--53">Tan 53 Degrees: Tangent of 53° on the Unit Circle</a>Copy
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    Tan 53 Degrees: Tangent of 53° on the Unit Circle. tan 53° ≈ 1.3270. The tangent is the ratio y/x of the point at 53° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--53/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    50°≈ 1.1918
    51°≈ 1.2349
    52°≈ 1.2799
    53°≈ 1.3270
    54°√(25 + 10√5)/5
    55°≈ 1.4281
    56°≈ 1.4826
    Recalculate with different values ↑

    FAQ

    What is tan 53°?

    tan 53° ≈ 1.3270

    Why does tan 53° 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°. 53° is not, so no such exact form exists; the value is used as a decimal: tan 53° ≈ 1.3270.

    Why does a calculator show −0.4312 for tan 53?

    The calculator is in radian mode (RAD): it takes tan 53 as the tangent of 53 radians, tan 53 rad ≈ −0.4312. Switch it to degrees (DEG): tan 53° ≈ 1.3270. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also