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    Sin 13 Degrees

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

    What is sin 13°?

    Answer

    sin 13° ≈
    0.2250

    Angle in radians: 13° = 13π/180. The point of the angle is in quadrant I, where sine is positive.

    ≈ — rounded to 4 decimal places. sin 13° can't be written with square roots: 13° is not a multiple of 3°.

    P(cos 13°, sin 13°) ≈ (0.9744, 0.2250)

    xyOP

    P(cos 13°, sin 13°) ≈ (0.9744, 0.2250)

    Highlighted: the projection on the y-axis — sine, y ≈ 0.2250.

    All four functions of 13°
    FunctionExact valueDecimal
    sin 13°—≈ 0.2250
    cos 13°—≈ 0.9744
    tan 13°—≈ 0.2309
    cot 13°—≈ 4.3315

    See Also

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    https://calculat.io/en/number/trigonometry/sin--13Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--13">Sin 13 Degrees: Sine of 13° on the Unit Circle - Calculatio</a>Copy
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    Sin 13 Degrees: Sine of 13° on the Unit Circle. sin 13° ≈ 0.2250. The sine is the y-coordinate of the point at 13° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--13/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    10°≈ 0.1736
    11°≈ 0.1908
    12°≈ 0.2079
    13°≈ 0.2250
    14°≈ 0.2419
    15°(√6 − √2)/4
    16°≈ 0.2756
    Recalculate with different values ↑

    FAQ

    What is sin 13°?

    sin 13° ≈ 0.2250

    Why does sin 13° 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°. 13° is not, so no such exact form exists; the value is used as a decimal: sin 13° ≈ 0.2250.

    Why does a calculator show 0.4202 for sin 13?

    The calculator is in radian mode (RAD): it takes sin 13 as the sine of 13 radians, sin 13 rad ≈ 0.4202. Switch it to degrees (DEG): sin 13° ≈ 0.2250. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also