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    Tan 227 Degrees

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

    What is tan 227°?

    Answer

    tan 227° ≈
    1.0724

    Angle in radians: 227° = 227π/180. The point of the angle is in quadrant III, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 227° can't be written with square roots: 227° is not a multiple of 3°.

    tan 227° = tan(180° + 47°) = tan 47° ≈ 1.0724

    tan 227° = sin 227° / cos 227° ≈ 1.0724

    xyOP

    P(cos 227°, sin 227°) ≈ (−0.6820, −0.7314)

    T(1, tan 227°) ≈ (1, 1.0724) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

    All four functions of 227°
    FunctionExact valueDecimal
    sin 227°—≈ −0.7314
    cos 227°—≈ −0.6820
    tan 227°—≈ 1.0724
    cot 227°—≈ 0.9325

    Reference angle: tan 47° ≈ 1.0724

    See Also

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    https://calculat.io/en/number/trigonometry/tan--227Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--227">Tan 227 Degrees: Tangent of 227° on the Unit Circle</a>Copy
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    Tan 227 Degrees: Tangent of 227° on the Unit Circle. tan 227° ≈ 1.0724. The tangent is the ratio y/x of the point at 227° on the unit circle; 227° reduces to 47°.
    https://calculat.io/en/number/trigonometry/tan--227/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    215°≈ 0.7002
    216°√(5 − 2√5)
    225°1
    227°≈ 1.0724
    234°√(25 + 10√5)/5
    240°√3
    252°√(5 + 2√5)
    Recalculate with different values ↑

    FAQ

    What is tan 227°?

    tan 227° ≈ 1.0724

    Why does tan 227° 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°. 227° is not, so no such exact form exists; the value is used as a decimal: tan 227° ≈ 1.0724.

    Why does a calculator show 1.0407 for tan 227?

    The calculator is in radian mode (RAD): it takes tan 227 as the tangent of 227 radians, tan 227 rad ≈ 1.0407. Switch it to degrees (DEG): tan 227° ≈ 1.0724. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also