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    Sin 53 Degrees

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

    What is sin 53°?

    Answer

    sin 53° ≈
    0.7986

    Angle in radians: 53° = 53π/180. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 53° can't be written with square roots: 53° is not a multiple of 3°.

    P(cos 53°, sin 53°) ≈ (0.6018, 0.7986)

    xyOP

    P(cos 53°, sin 53°) ≈ (0.6018, 0.7986)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.7986.

    All four functions of 53°
    FunctionExact valueDecimal
    sin 53°—≈ 0.7986
    cos 53°—≈ 0.6018
    tan 53°—≈ 1.3270
    cot 53°—≈ 0.7536

    See Also

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    https://calculat.io/en/number/trigonometry/sin--53Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--53">Sin 53 Degrees: Sine of 53° on the Unit Circle - Calculatio</a>Copy
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    Sin 53 Degrees: Sine of 53° on the Unit Circle. sin 53° ≈ 0.7986. The sine is the y-coordinate of the point at 53° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--53/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    50°≈ 0.7660
    51°≈ 0.7771
    52°≈ 0.7880
    53°≈ 0.7986
    54°(√5 + 1)/4
    55°≈ 0.8192
    56°≈ 0.8290
    Recalculate with different values ↑

    FAQ

    What is sin 53°?

    sin 53° ≈ 0.7986

    Why does sin 53° 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°. 53° is not, so no such exact form exists; the value is used as a decimal: sin 53° ≈ 0.7986.

    Why does a calculator show 0.3959 for sin 53?

    The calculator is in radian mode (RAD): it takes sin 53 as the sine of 53 radians, sin 53 rad ≈ 0.3959. Switch it to degrees (DEG): sin 53° ≈ 0.7986. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also