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    Sin 31 Degrees

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

    What is sin 31°?

    Answer

    sin 31° ≈
    0.5150

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

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

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

    xyOP

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

    Highlighted: the projection on the y-axis — sine, y ≈ 0.5150.

    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/sin--31Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--31">Sin 31 Degrees: Sine of 31° on the Unit Circle - Calculatio</a>Copy
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    Sin 31 Degrees: Sine of 31° on the Unit Circle. sin 31° ≈ 0.5150. The sine is the y-coordinate of the point at 31° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--31/generated.jpgCopy

    FAQ

    What is sin 31°?

    sin 31° ≈ 0.5150

    Why does sin 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: sin 31° ≈ 0.5150.

    Why does a calculator show −0.4040 for sin 31?

    The calculator is in radian mode (RAD): it takes sin 31 as the sine of 31 radians, sin 31 rad ≈ −0.4040. Switch it to degrees (DEG): sin 31° ≈ 0.5150. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.