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    Cos 5 Degrees

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

    What is cos 5°?

    Answer

    cos 5° ≈
    0.9962

    Angle in radians: 5° = π/36. The point of the angle is in quadrant I, where cosine is positive.

    ≈ — rounded to 4 decimal places. cos 5° can't be written with square roots: 5° is not a multiple of 3°.

    P(cos 5°, sin 5°) ≈ (0.9962, 0.0872)

    xyOP

    P(cos 5°, sin 5°) ≈ (0.9962, 0.0872)

    Highlighted: the projection on the x-axis — cosine, x ≈ 0.9962.

    All four functions of 5°
    FunctionExact valueDecimal
    sin 5°—≈ 0.0872
    cos 5°—≈ 0.9962
    tan 5°—≈ 0.0875
    cot 5°—≈ 11.4301

    See Also

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    <a href="https://calculat.io/en/number/trigonometry/cos--5">Cos 5 Degrees: Cosine of 5° on the Unit Circle - Calculatio</a>Copy
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    Cos 5 Degrees: Cosine of 5° on the Unit Circle. cos 5° ≈ 0.9962. The cosine is the x-coordinate of the point at 5° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--5/generated.jpgCopy

    FAQ

    What is cos 5°?

    cos 5° ≈ 0.9962

    Why does cos 5° 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°. 5° is not, so no such exact form exists; the value is used as a decimal: cos 5° ≈ 0.9962.

    Why does a calculator show 0.2837 for cos 5?

    The calculator is in radian mode (RAD): it takes cos 5 as the cosine of 5 radians, cos 5 rad ≈ 0.2837. Switch it to degrees (DEG): cos 5° ≈ 0.9962. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.