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    Sin 39 Degrees

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

    What is sin 39°?

    Answer

    sin 39° ≈
    0.6293

    Angle in radians: 39° = 13π/60. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. An exact form of sin 39° in square roots exists, but it is unwieldy — nested radicals.

    P(cos 39°, sin 39°) ≈ (0.7771, 0.6293)

    xyOP

    P(cos 39°, sin 39°) ≈ (0.7771, 0.6293)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.6293.

    All four functions of 39°
    FunctionExact valueDecimal
    sin 39°—≈ 0.6293
    cos 39°—≈ 0.7771
    tan 39°—≈ 0.8098
    cot 39°—≈ 1.2349

    See Also

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    https://calculat.io/en/number/trigonometry/sin--39Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--39">Sin 39 Degrees: Sine of 39° on the Unit Circle - Calculatio</a>Copy
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    Sin 39 Degrees: Sine of 39° on the Unit Circle. sin 39° ≈ 0.6293. The sine is the y-coordinate of the point at 39° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--39/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    36°√(10 − 2√5)/4
    37°≈ 0.6018
    38°≈ 0.6157
    39°≈ 0.6293
    40°≈ 0.6428
    41°≈ 0.6561
    42°≈ 0.6691
    Recalculate with different values ↑

    FAQ

    What is sin 39°?

    sin 39° ≈ 0.6293

    Is there an exact value of sin 39°?

    Yes: 39° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: sin 39° ≈ 0.6293.

    Why does a calculator show 0.9638 for sin 39?

    The calculator is in radian mode (RAD): it takes sin 39 as the sine of 39 radians, sin 39 rad ≈ 0.9638. Switch it to degrees (DEG): sin 39° ≈ 0.6293. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also