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    Cos 84 Degrees

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

    What is cos 84°?

    Answer

    cos 84° ≈
    0.1045

    Angle in radians: 84° = 7π/15. The point of the angle is in quadrant I, where cosine is positive.

    ≈ — rounded to 4 decimal places. An exact form of cos 84° in square roots exists, but it is unwieldy — nested radicals.

    P(cos 84°, sin 84°) ≈ (0.1045, 0.9945)

    xyOP

    P(cos 84°, sin 84°) ≈ (0.1045, 0.9945)

    Highlighted: the projection on the x-axis — cosine, x ≈ 0.1045.

    All four functions of 84°
    FunctionExact valueDecimal
    sin 84°—≈ 0.9945
    cos 84°—≈ 0.1045
    tan 84°—≈ 9.5144
    cot 84°—≈ 0.1051

    See Also

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    https://calculat.io/en/number/trigonometry/cos--84Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--84">Cos 84 Degrees: Cosine of 84° on the Unit Circle</a>Copy
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    Cos 84 Degrees: Cosine of 84° on the Unit Circle. cos 84° ≈ 0.1045. The cosine is the x-coordinate of the point at 84° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--84/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    81°≈ 0.1564
    82°≈ 0.1392
    83°≈ 0.1219
    84°≈ 0.1045
    85°≈ 0.0872
    86°≈ 0.0698
    87°≈ 0.0523
    Recalculate with different values ↑

    FAQ

    What is cos 84°?

    cos 84° ≈ 0.1045

    Is there an exact value of cos 84°?

    Yes: 84° 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 84° ≈ 0.1045.

    Why does a calculator show −0.6800 for cos 84?

    The calculator is in radian mode (RAD): it takes cos 84 as the cosine of 84 radians, cos 84 rad ≈ −0.6800. Switch it to degrees (DEG): cos 84° ≈ 0.1045. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also