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    Sin 56 Degrees

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

    What is sin 56°?

    Answer

    sin 56° ≈
    0.8290

    Angle in radians: 56° = 14π/45. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 56° can't be written with square roots: 56° is not a multiple of 3°.

    P(cos 56°, sin 56°) ≈ (0.5592, 0.8290)

    xyOP

    P(cos 56°, sin 56°) ≈ (0.5592, 0.8290)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.8290.

    All four functions of 56°
    FunctionExact valueDecimal
    sin 56°—≈ 0.8290
    cos 56°—≈ 0.5592
    tan 56°—≈ 1.4826
    cot 56°—≈ 0.6745

    See Also

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    https://calculat.io/en/number/trigonometry/sin--56Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--56">Sin 56 Degrees: Sine of 56° on the Unit Circle - Calculatio</a>Copy
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    Sin 56 Degrees: Sine of 56° on the Unit Circle. sin 56° ≈ 0.8290. The sine is the y-coordinate of the point at 56° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--56/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    53°≈ 0.7986
    54°(√5 + 1)/4
    55°≈ 0.8192
    56°≈ 0.8290
    57°≈ 0.8387
    58°≈ 0.8480
    59°≈ 0.8572
    Recalculate with different values ↑

    FAQ

    What is sin 56°?

    sin 56° ≈ 0.8290

    Why does sin 56° 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°. 56° is not, so no such exact form exists; the value is used as a decimal: sin 56° ≈ 0.8290.

    Why does a calculator show −0.5216 for sin 56?

    The calculator is in radian mode (RAD): it takes sin 56 as the sine of 56 radians, sin 56 rad ≈ −0.5216. Switch it to degrees (DEG): sin 56° ≈ 0.8290. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also