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    Sin 227 Degrees

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

    What is sin 227°?

    Answer

    sin 227° ≈
    −0.7314

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

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

    sin 227° = sin(180° + 47°) = −sin 47° ≈ −0.7314

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

    xyOP

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

    Highlighted: the projection on the y-axis — sine, y ≈ −0.7314.

    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: sin 47° ≈ 0.7314

    See Also

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    https://calculat.io/en/number/trigonometry/sin--227Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--227">Sin 227 Degrees: Sine of 227° on the Unit Circle</a>Copy
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    Sin 227 Degrees: Sine of 227° on the Unit Circle. sin 227° ≈ −0.7314. The sine is the y-coordinate of the point at 227° on the unit circle; 227° reduces to 47°.
    https://calculat.io/en/number/trigonometry/sin--227/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    215°≈ −0.5736
    216°−√(10 − 2√5)/4
    225°−√2/2
    227°≈ −0.7314
    234°−(√5 + 1)/4
    240°−√3/2
    252°−√(10 + 2√5)/4
    Recalculate with different values ↑

    FAQ

    What is sin 227°?

    sin 227° ≈ −0.7314

    Why does sin 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: sin 227° ≈ −0.7314.

    Why does a calculator show 0.7211 for sin 227?

    The calculator is in radian mode (RAD): it takes sin 227 as the sine of 227 radians, sin 227 rad ≈ 0.7211. Switch it to degrees (DEG): sin 227° ≈ −0.7314. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also