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    Cos 53 Degrees

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

    What is cos 53°?

    Answer

    cos 53° ≈
    0.6018

    Angle in radians: 53° = 53π/180. The point of the angle is in quadrant I, where cosine is positive.

    ≈ — rounded to 4 decimal places. cos 53° can't be written with square roots: 53° is not a multiple of 3°.

    P(cos 53°, sin 53°) ≈ (0.6018, 0.7986)

    xyOP

    P(cos 53°, sin 53°) ≈ (0.6018, 0.7986)

    Highlighted: the projection on the x-axis — cosine, x ≈ 0.6018.

    All four functions of 53°
    FunctionExact valueDecimal
    sin 53°—≈ 0.7986
    cos 53°—≈ 0.6018
    tan 53°—≈ 1.3270
    cot 53°—≈ 0.7536

    See Also

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    https://calculat.io/en/number/trigonometry/cos--53Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--53">Cos 53 Degrees: Cosine of 53° on the Unit Circle</a>Copy
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    Cos 53 Degrees: Cosine of 53° on the Unit Circle. cos 53° ≈ 0.6018. The cosine is the x-coordinate of the point at 53° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--53/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    50°≈ 0.6428
    51°≈ 0.6293
    52°≈ 0.6157
    53°≈ 0.6018
    54°√(10 − 2√5)/4
    55°≈ 0.5736
    56°≈ 0.5592
    Recalculate with different values ↑

    FAQ

    What is cos 53°?

    cos 53° ≈ 0.6018

    Why does cos 53° 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°. 53° is not, so no such exact form exists; the value is used as a decimal: cos 53° ≈ 0.6018.

    Why does a calculator show −0.9183 for cos 53?

    The calculator is in radian mode (RAD): it takes cos 53 as the cosine of 53 radians, cos 53 rad ≈ −0.9183. Switch it to degrees (DEG): cos 53° ≈ 0.6018. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also