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    Sin 59 Degrees

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

    What is sin 59°?

    Answer

    sin 59° ≈
    0.8572

    Angle in radians: 59° = 59π/180. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 59° can't be written with square roots: 59° is not a multiple of 3°.

    P(cos 59°, sin 59°) ≈ (0.5150, 0.8572)

    xyOP

    P(cos 59°, sin 59°) ≈ (0.5150, 0.8572)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.8572.

    All four functions of 59°
    FunctionExact valueDecimal
    sin 59°—≈ 0.8572
    cos 59°—≈ 0.5150
    tan 59°—≈ 1.6643
    cot 59°—≈ 0.6009

    See Also

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    <a href="https://calculat.io/en/number/trigonometry/sin--59">Sin 59 Degrees: Sine of 59° on the Unit Circle - Calculatio</a>Copy
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    Sin 59 Degrees: Sine of 59° on the Unit Circle. sin 59° ≈ 0.8572. The sine is the y-coordinate of the point at 59° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--59/generated.jpgCopy

    FAQ

    What is sin 59°?

    sin 59° ≈ 0.8572

    Why does sin 59° 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°. 59° is not, so no such exact form exists; the value is used as a decimal: sin 59° ≈ 0.8572.

    Why does a calculator show 0.6367 for sin 59?

    The calculator is in radian mode (RAD): it takes sin 59 as the sine of 59 radians, sin 59 rad ≈ 0.6367. Switch it to degrees (DEG): sin 59° ≈ 0.8572. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.