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    Tan 31 Degrees

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

    What is tan 31°?

    Answer

    tan 31° ≈
    0.6009

    Angle in radians: 31° = 31π/180. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 31° can't be written with square roots: 31° is not a multiple of 3°.

    tan 31° = sin 31° / cos 31° ≈ 0.6009

    xyOP

    P(cos 31°, sin 31°) ≈ (0.8572, 0.5150)

    T(1, tan 31°) ≈ (1, 0.6009) — where line OP meets the line x = 1.

    All four functions of 31°
    FunctionExact valueDecimal
    sin 31°—≈ 0.5150
    cos 31°—≈ 0.8572
    tan 31°—≈ 0.6009
    cot 31°—≈ 1.6643

    See Also

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    https://calculat.io/en/number/trigonometry/tan--31Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--31">Tan 31 Degrees: Tangent of 31° on the Unit Circle</a>Copy
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    Tan 31 Degrees: Tangent of 31° on the Unit Circle. tan 31° ≈ 0.6009. The tangent is the ratio y/x of the point at 31° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--31/generated.jpgCopy

    FAQ

    What is tan 31°?

    tan 31° ≈ 0.6009

    Why does tan 31° 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°. 31° is not, so no such exact form exists; the value is used as a decimal: tan 31° ≈ 0.6009.

    Why does a calculator show −0.4417 for tan 31?

    The calculator is in radian mode (RAD): it takes tan 31 as the tangent of 31 radians, tan 31 rad ≈ −0.4417. Switch it to degrees (DEG): tan 31° ≈ 0.6009. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.