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    Sin 50 Degrees

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

    What is sin 50°?

    Answer

    sin 50° ≈
    0.7660

    Angle in radians: 50° = 5π/18. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 50° can't be written with square roots: 50° is not a multiple of 3°.

    P(cos 50°, sin 50°) ≈ (0.6428, 0.7660)

    xyOP

    P(cos 50°, sin 50°) ≈ (0.6428, 0.7660)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.7660.

    All four functions of 50°
    FunctionExact valueDecimal
    sin 50°—≈ 0.7660
    cos 50°—≈ 0.6428
    tan 50°—≈ 1.1918
    cot 50°—≈ 0.8391

    See Also

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    <a href="https://calculat.io/en/number/trigonometry/sin--50">Sin 50 Degrees: Sine of 50° on the Unit Circle - Calculatio</a>Copy
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    Sin 50 Degrees: Sine of 50° on the Unit Circle. sin 50° ≈ 0.7660. The sine is the y-coordinate of the point at 50° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--50/generated.jpgCopy

    FAQ

    What is sin 50°?

    sin 50° ≈ 0.7660

    Why does sin 50° 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°. 50° is not, so no such exact form exists; the value is used as a decimal: sin 50° ≈ 0.7660.

    Why does a calculator show −0.2624 for sin 50?

    The calculator is in radian mode (RAD): it takes sin 50 as the sine of 50 radians, sin 50 rad ≈ −0.2624. Switch it to degrees (DEG): sin 50° ≈ 0.7660. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.