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    Cos 48 Degrees

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

    What is cos 48°?

    Answer

    cos 48° ≈
    0.6691

    Angle in radians: 48° = 4π/15. The point of the angle is in quadrant I, where cosine is positive.

    ≈ — rounded to 4 decimal places. An exact form of cos 48° in square roots exists, but it is unwieldy — nested radicals.

    P(cos 48°, sin 48°) ≈ (0.6691, 0.7431)

    xyOP

    P(cos 48°, sin 48°) ≈ (0.6691, 0.7431)

    Highlighted: the projection on the x-axis — cosine, x ≈ 0.6691.

    All four functions of 48°
    FunctionExact valueDecimal
    sin 48°—≈ 0.7431
    cos 48°—≈ 0.6691
    tan 48°—≈ 1.1106
    cot 48°—≈ 0.9004

    See Also

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    https://calculat.io/en/number/trigonometry/cos--48Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--48">Cos 48 Degrees: Cosine of 48° on the Unit Circle</a>Copy
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    Cos 48 Degrees: Cosine of 48° on the Unit Circle. cos 48° ≈ 0.6691. The cosine is the x-coordinate of the point at 48° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--48/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    45°√2/2
    46°≈ 0.6947
    47°≈ 0.6820
    48°≈ 0.6691
    49°≈ 0.6561
    50°≈ 0.6428
    51°≈ 0.6293
    Recalculate with different values ↑

    FAQ

    What is cos 48°?

    cos 48° ≈ 0.6691

    Is there an exact value of cos 48°?

    Yes: 48° 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 48° ≈ 0.6691.

    Why does a calculator show −0.6401 for cos 48?

    The calculator is in radian mode (RAD): it takes cos 48 as the cosine of 48 radians, cos 48 rad ≈ −0.6401. Switch it to degrees (DEG): cos 48° ≈ 0.6691. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also