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    Sin 55 Degrees

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

    What is sin 55°?

    Answer

    sin 55° ≈
    0.8192

    Angle in radians: 55° = 11π/36. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 55° can't be written with square roots: 55° is not a multiple of 3°.

    P(cos 55°, sin 55°) ≈ (0.5736, 0.8192)

    xyOP

    P(cos 55°, sin 55°) ≈ (0.5736, 0.8192)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.8192.

    All four functions of 55°
    FunctionExact valueDecimal
    sin 55°—≈ 0.8192
    cos 55°—≈ 0.5736
    tan 55°—≈ 1.4281
    cot 55°—≈ 0.7002

    See Also

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    <a href="https://calculat.io/en/number/trigonometry/sin--55">Sin 55 Degrees: Sine of 55° on the Unit Circle - Calculatio</a>Copy
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    Sin 55 Degrees: Sine of 55° on the Unit Circle. sin 55° ≈ 0.8192. The sine is the y-coordinate of the point at 55° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--55/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    52°≈ 0.7880
    53°≈ 0.7986
    54°(√5 + 1)/4
    55°≈ 0.8192
    56°≈ 0.8290
    57°≈ 0.8387
    58°≈ 0.8480
    Recalculate with different values ↑

    FAQ

    What is sin 55°?

    sin 55° ≈ 0.8192

    Why does sin 55° 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°. 55° is not, so no such exact form exists; the value is used as a decimal: sin 55° ≈ 0.8192.

    Why does a calculator show −0.9998 for sin 55?

    The calculator is in radian mode (RAD): it takes sin 55 as the sine of 55 radians, sin 55 rad ≈ −0.9998. Switch it to degrees (DEG): sin 55° ≈ 0.8192. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also