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    Sin 4 Degrees

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

    What is sin 4°?

    Answer

    sin 4° ≈
    0.0698

    Angle in radians: 4° = π/45. The point of the angle is in quadrant I, where sine is positive.

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

    P(cos 4°, sin 4°) ≈ (0.9976, 0.0698)

    xyOP

    P(cos 4°, sin 4°) ≈ (0.9976, 0.0698)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.0698.

    All four functions of 4°
    FunctionExact valueDecimal
    sin 4°—≈ 0.0698
    cos 4°—≈ 0.9976
    tan 4°—≈ 0.0699
    cot 4°—≈ 14.3007

    See Also

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    https://calculat.io/en/number/trigonometry/sin--4Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--4">Sin 4 Degrees: Sine of 4° on the Unit Circle - Calculatio</a>Copy
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    Sin 4 Degrees: Sine of 4° on the Unit Circle. sin 4° ≈ 0.0698. The sine is the y-coordinate of the point at 4° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--4/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    1°≈ 0.0175
    2°≈ 0.0349
    3°≈ 0.0523
    4°≈ 0.0698
    5°≈ 0.0872
    6°≈ 0.1045
    7°≈ 0.1219
    Recalculate with different values ↑

    FAQ

    What is sin 4°?

    sin 4° ≈ 0.0698

    Why does sin 4° 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°. 4° is not, so no such exact form exists; the value is used as a decimal: sin 4° ≈ 0.0698.

    Why does a calculator show −0.7568 for sin 4?

    The calculator is in radian mode (RAD): it takes sin 4 as the sine of 4 radians, sin 4 rad ≈ −0.7568. Switch it to degrees (DEG): sin 4° ≈ 0.0698. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also