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    Sin 52 Degrees

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

    What is sin 52°?

    Answer

    sin 52° ≈
    0.7880

    Angle in radians: 52° = 13π/45. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 52° can't be written with square roots: 52° is not a multiple of 3°.

    P(cos 52°, sin 52°) ≈ (0.6157, 0.7880)

    xyOP

    P(cos 52°, sin 52°) ≈ (0.6157, 0.7880)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.7880.

    All four functions of 52°
    FunctionExact valueDecimal
    sin 52°—≈ 0.7880
    cos 52°—≈ 0.6157
    tan 52°—≈ 1.2799
    cot 52°—≈ 0.7813

    See Also

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    https://calculat.io/en/number/trigonometry/sin--52Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--52">Sin 52 Degrees: Sine of 52° on the Unit Circle - Calculatio</a>Copy
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    Sin 52 Degrees: Sine of 52° on the Unit Circle. sin 52° ≈ 0.7880. The sine is the y-coordinate of the point at 52° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--52/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    49°≈ 0.7547
    50°≈ 0.7660
    51°≈ 0.7771
    52°≈ 0.7880
    53°≈ 0.7986
    54°(√5 + 1)/4
    55°≈ 0.8192
    Recalculate with different values ↑

    FAQ

    What is sin 52°?

    sin 52° ≈ 0.7880

    Why does sin 52° 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°. 52° is not, so no such exact form exists; the value is used as a decimal: sin 52° ≈ 0.7880.

    Why does a calculator show 0.9866 for sin 52?

    The calculator is in radian mode (RAD): it takes sin 52 as the sine of 52 radians, sin 52 rad ≈ 0.9866. Switch it to degrees (DEG): sin 52° ≈ 0.7880. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also