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    Sin 7 Degrees

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

    What is sin 7°?

    Answer

    sin 7° ≈
    0.1219

    Angle in radians: 7° = 7π/180. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 7° can't be written with square roots: 7° is not a multiple of 3°.

    P(cos 7°, sin 7°) ≈ (0.9925, 0.1219)

    xyOP

    P(cos 7°, sin 7°) ≈ (0.9925, 0.1219)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.1219.

    All four functions of 7°
    FunctionExact valueDecimal
    sin 7°—≈ 0.1219
    cos 7°—≈ 0.9925
    tan 7°—≈ 0.1228
    cot 7°—≈ 8.1443

    See Also

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    <a href="https://calculat.io/en/number/trigonometry/sin--7">Sin 7 Degrees: Sine of 7° on the Unit Circle - Calculatio</a>Copy
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    Sin 7 Degrees: Sine of 7° on the Unit Circle. sin 7° ≈ 0.1219. The sine is the y-coordinate of the point at 7° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--7/generated.jpgCopy

    FAQ

    What is sin 7°?

    sin 7° ≈ 0.1219

    Why does sin 7° 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°. 7° is not, so no such exact form exists; the value is used as a decimal: sin 7° ≈ 0.1219.

    Why does a calculator show 0.6570 for sin 7?

    The calculator is in radian mode (RAD): it takes sin 7 as the sine of 7 radians, sin 7 rad ≈ 0.6570. Switch it to degrees (DEG): sin 7° ≈ 0.1219. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.