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    Cos 31 Degrees

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

    What is cos 31°?

    Answer

    cos 31° ≈
    0.8572

    Angle in radians: 31° = 31π/180. The point of the angle is in quadrant I, where cosine is positive.

    ≈ — rounded to 4 decimal places. cos 31° can't be written with square roots: 31° is not a multiple of 3°.

    P(cos 31°, sin 31°) ≈ (0.8572, 0.5150)

    xyOP

    P(cos 31°, sin 31°) ≈ (0.8572, 0.5150)

    Highlighted: the projection on the x-axis — cosine, x ≈ 0.8572.

    All four functions of 31°
    FunctionExact valueDecimal
    sin 31°—≈ 0.5150
    cos 31°—≈ 0.8572
    tan 31°—≈ 0.6009
    cot 31°—≈ 1.6643

    See Also

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    https://calculat.io/en/number/trigonometry/cos--31Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--31">Cos 31 Degrees: Cosine of 31° on the Unit Circle</a>Copy
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    Cos 31 Degrees: Cosine of 31° on the Unit Circle. cos 31° ≈ 0.8572. The cosine is the x-coordinate of the point at 31° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--31/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    28°≈ 0.8829
    29°≈ 0.8746
    30°√3/2
    31°≈ 0.8572
    32°≈ 0.8480
    33°≈ 0.8387
    34°≈ 0.8290
    Recalculate with different values ↑

    FAQ

    What is cos 31°?

    cos 31° ≈ 0.8572

    Why does cos 31° 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°. 31° is not, so no such exact form exists; the value is used as a decimal: cos 31° ≈ 0.8572.

    Why does a calculator show 0.9147 for cos 31?

    The calculator is in radian mode (RAD): it takes cos 31 as the cosine of 31 radians, cos 31 rad ≈ 0.9147. Switch it to degrees (DEG): cos 31° ≈ 0.8572. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also