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    Cos 57 Degrees

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

    What is cos 57°?

    Answer

    cos 57° ≈
    0.5446

    Angle in radians: 57° = 19π/60. The point of the angle is in quadrant I, where cosine is positive.

    ≈ — rounded to 4 decimal places. An exact form of cos 57° in square roots exists, but it is unwieldy — nested radicals.

    P(cos 57°, sin 57°) ≈ (0.5446, 0.8387)

    xyOP

    P(cos 57°, sin 57°) ≈ (0.5446, 0.8387)

    Highlighted: the projection on the x-axis — cosine, x ≈ 0.5446.

    All four functions of 57°
    FunctionExact valueDecimal
    sin 57°—≈ 0.8387
    cos 57°—≈ 0.5446
    tan 57°—≈ 1.5399
    cot 57°—≈ 0.6494

    See Also

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    https://calculat.io/en/number/trigonometry/cos--57Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--57">Cos 57 Degrees: Cosine of 57° on the Unit Circle</a>Copy
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    Cos 57 Degrees: Cosine of 57° on the Unit Circle. cos 57° ≈ 0.5446. The cosine is the x-coordinate of the point at 57° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--57/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    54°√(10 − 2√5)/4
    55°≈ 0.5736
    56°≈ 0.5592
    57°≈ 0.5446
    58°≈ 0.5299
    59°≈ 0.5150
    60°1/2
    Recalculate with different values ↑

    FAQ

    What is cos 57°?

    cos 57° ≈ 0.5446

    Is there an exact value of cos 57°?

    Yes: 57° 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: cos 57° ≈ 0.5446.

    Why does a calculator show 0.8999 for cos 57?

    The calculator is in radian mode (RAD): it takes cos 57 as the cosine of 57 radians, cos 57 rad ≈ 0.8999. Switch it to degrees (DEG): cos 57° ≈ 0.5446. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also