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    Sin 23 Degrees

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

    What is sin 23°?

    Answer

    sin 23° ≈
    0.3907

    Angle in radians: 23° = 23π/180. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 23° can't be written with square roots: 23° is not a multiple of 3°.

    P(cos 23°, sin 23°) ≈ (0.9205, 0.3907)

    xyOP

    P(cos 23°, sin 23°) ≈ (0.9205, 0.3907)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.3907.

    All four functions of 23°
    FunctionExact valueDecimal
    sin 23°—≈ 0.3907
    cos 23°—≈ 0.9205
    tan 23°—≈ 0.4245
    cot 23°—≈ 2.3559

    See Also

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    https://calculat.io/en/number/trigonometry/sin--23Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--23">Sin 23 Degrees: Sine of 23° on the Unit Circle - Calculatio</a>Copy
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    Sin 23 Degrees: Sine of 23° on the Unit Circle. sin 23° ≈ 0.3907. The sine is the y-coordinate of the point at 23° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--23/generated.jpgCopy

    FAQ

    What is sin 23°?

    sin 23° ≈ 0.3907

    Why does sin 23° 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°. 23° is not, so no such exact form exists; the value is used as a decimal: sin 23° ≈ 0.3907.

    Why does a calculator show −0.8462 for sin 23?

    The calculator is in radian mode (RAD): it takes sin 23 as the sine of 23 radians, sin 23 rad ≈ −0.8462. Switch it to degrees (DEG): sin 23° ≈ 0.3907. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.