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    Sin 83 Degrees

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

    What is sin 83°?

    Answer

    sin 83° ≈
    0.9925

    Angle in radians: 83° = 83π/180. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 83° can't be written with square roots: 83° is not a multiple of 3°.

    P(cos 83°, sin 83°) ≈ (0.1219, 0.9925)

    xyOP

    P(cos 83°, sin 83°) ≈ (0.1219, 0.9925)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.9925.

    All four functions of 83°
    FunctionExact valueDecimal
    sin 83°—≈ 0.9925
    cos 83°—≈ 0.1219
    tan 83°—≈ 8.1443
    cot 83°—≈ 0.1228

    See Also

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    <a href="https://calculat.io/en/number/trigonometry/sin--83">Sin 83 Degrees: Sine of 83° on the Unit Circle - Calculatio</a>Copy
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    Sin 83 Degrees: Sine of 83° on the Unit Circle. sin 83° ≈ 0.9925. The sine is the y-coordinate of the point at 83° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--83/generated.jpgCopy

    FAQ

    What is sin 83°?

    sin 83° ≈ 0.9925

    Why does sin 83° 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°. 83° is not, so no such exact form exists; the value is used as a decimal: sin 83° ≈ 0.9925.

    Why does a calculator show 0.9684 for sin 83?

    The calculator is in radian mode (RAD): it takes sin 83 as the sine of 83 radians, sin 83 rad ≈ 0.9684. Switch it to degrees (DEG): sin 83° ≈ 0.9925. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.