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    Sin 82 Degrees

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

    What is sin 82°?

    Answer

    sin 82° ≈
    0.9903

    Angle in radians: 82° = 41π/90. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 82° can't be written with square roots: 82° is not a multiple of 3°.

    P(cos 82°, sin 82°) ≈ (0.1392, 0.9903)

    xyOP

    P(cos 82°, sin 82°) ≈ (0.1392, 0.9903)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.9903.

    All four functions of 82°
    FunctionExact valueDecimal
    sin 82°—≈ 0.9903
    cos 82°—≈ 0.1392
    tan 82°—≈ 7.1154
    cot 82°—≈ 0.1405

    See Also

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    <a href="https://calculat.io/en/number/trigonometry/sin--82">Sin 82 Degrees: Sine of 82° on the Unit Circle - Calculatio</a>Copy
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    Sin 82 Degrees: Sine of 82° on the Unit Circle. sin 82° ≈ 0.9903. The sine is the y-coordinate of the point at 82° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--82/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    79°≈ 0.9816
    80°≈ 0.9848
    81°≈ 0.9877
    82°≈ 0.9903
    83°≈ 0.9925
    84°≈ 0.9945
    85°≈ 0.9962
    Recalculate with different values ↑

    FAQ

    What is sin 82°?

    sin 82° ≈ 0.9903

    Why does sin 82° 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°. 82° is not, so no such exact form exists; the value is used as a decimal: sin 82° ≈ 0.9903.

    Why does a calculator show 0.3132 for sin 82?

    The calculator is in radian mode (RAD): it takes sin 82 as the sine of 82 radians, sin 82 rad ≈ 0.3132. Switch it to degrees (DEG): sin 82° ≈ 0.9903. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also