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    Tan 13 Degrees

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

    What is tan 13°?

    Answer

    tan 13° ≈
    0.2309

    Angle in radians: 13° = 13π/180. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 13° can't be written with square roots: 13° is not a multiple of 3°.

    tan 13° = sin 13° / cos 13° ≈ 0.2309

    xyOP

    P(cos 13°, sin 13°) ≈ (0.9744, 0.2250)

    T(1, tan 13°) ≈ (1, 0.2309) — where line OP meets the line x = 1.

    All four functions of 13°
    FunctionExact valueDecimal
    sin 13°—≈ 0.2250
    cos 13°—≈ 0.9744
    tan 13°—≈ 0.2309
    cot 13°—≈ 4.3315

    See Also

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    https://calculat.io/en/number/trigonometry/tan--13Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--13">Tan 13 Degrees: Tangent of 13° on the Unit Circle</a>Copy
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    Tan 13 Degrees: Tangent of 13° on the Unit Circle. tan 13° ≈ 0.2309. The tangent is the ratio y/x of the point at 13° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--13/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    10°≈ 0.1763
    11°≈ 0.1944
    12°≈ 0.2126
    13°≈ 0.2309
    14°≈ 0.2493
    15°2 − √3
    16°≈ 0.2867
    Recalculate with different values ↑

    FAQ

    What is tan 13°?

    tan 13° ≈ 0.2309

    Why does tan 13° 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°. 13° is not, so no such exact form exists; the value is used as a decimal: tan 13° ≈ 0.2309.

    Why does a calculator show 0.4630 for tan 13?

    The calculator is in radian mode (RAD): it takes tan 13 as the tangent of 13 radians, tan 13 rad ≈ 0.4630. Switch it to degrees (DEG): tan 13° ≈ 0.2309. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also