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    Sin 3 Degrees

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

    What is sin 3°?

    Answer

    sin 3° ≈
    0.0523

    Angle in radians: 3° = π/60. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. An exact form of sin 3° in square roots exists, but it is unwieldy — nested radicals.

    P(cos 3°, sin 3°) ≈ (0.9986, 0.0523)

    xyOP

    P(cos 3°, sin 3°) ≈ (0.9986, 0.0523)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.0523.

    All four functions of 3°
    FunctionExact valueDecimal
    sin 3°—≈ 0.0523
    cos 3°—≈ 0.9986
    tan 3°—≈ 0.0524
    cot 3°—≈ 19.0811

    See Also

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    https://calculat.io/en/number/trigonometry/sin--3Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--3">Sin 3 Degrees: Sine of 3° on the Unit Circle - Calculatio</a>Copy
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    Sin 3 Degrees: Sine of 3° on the Unit Circle. sin 3° ≈ 0.0523. The sine is the y-coordinate of the point at 3° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--3/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    0°0
    1°≈ 0.0175
    2°≈ 0.0349
    3°≈ 0.0523
    4°≈ 0.0698
    5°≈ 0.0872
    6°≈ 0.1045
    Recalculate with different values ↑

    FAQ

    What is sin 3°?

    sin 3° ≈ 0.0523

    Is there an exact value of sin 3°?

    Yes: 3° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: sin 3° ≈ 0.0523.

    Why does a calculator show 0.1411 for sin 3?

    The calculator is in radian mode (RAD): it takes sin 3 as the sine of 3 radians, sin 3 rad ≈ 0.1411. Switch it to degrees (DEG): sin 3° ≈ 0.0523. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also