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    Cos 13 Degrees

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

    What is cos 13°?

    Answer

    cos 13° ≈
    0.9744

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

    ≈ — rounded to 4 decimal places. cos 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 x-axis — cosine, x ≈ 0.9744.

    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/cos--13Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--13">Cos 13 Degrees: Cosine of 13° on the Unit Circle</a>Copy
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    Cos 13 Degrees: Cosine of 13° on the Unit Circle. cos 13° ≈ 0.9744. The cosine is the x-coordinate of the point at 13° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--13/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    10°≈ 0.9848
    11°≈ 0.9816
    12°≈ 0.9781
    13°≈ 0.9744
    14°≈ 0.9703
    15°(√6 + √2)/4
    16°≈ 0.9613
    Recalculate with different values ↑

    FAQ

    What is cos 13°?

    cos 13° ≈ 0.9744

    Why does cos 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: cos 13° ≈ 0.9744.

    Why does a calculator show 0.9074 for cos 13?

    The calculator is in radian mode (RAD): it takes cos 13 as the cosine of 13 radians, cos 13 rad ≈ 0.9074. Switch it to degrees (DEG): cos 13° ≈ 0.9744. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also