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    Cos 87 Degrees

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

    What is cos 87°?

    Answer

    cos 87° ≈
    0.0523

    Angle in radians: 87° = 29π/60. The point of the angle is in quadrant I, where cosine is positive.

    ≈ — rounded to 4 decimal places. An exact form of cos 87° in square roots exists, but it is unwieldy — nested radicals.

    P(cos 87°, sin 87°) ≈ (0.0523, 0.9986)

    xyOP

    P(cos 87°, sin 87°) ≈ (0.0523, 0.9986)

    Highlighted: the projection on the x-axis — cosine, x ≈ 0.0523.

    All four functions of 87°
    FunctionExact valueDecimal
    sin 87°—≈ 0.9986
    cos 87°—≈ 0.0523
    tan 87°—≈ 19.0811
    cot 87°—≈ 0.0524

    See Also

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    https://calculat.io/en/number/trigonometry/cos--87Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--87">Cos 87 Degrees: Cosine of 87° on the Unit Circle</a>Copy
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    Cos 87 Degrees: Cosine of 87° on the Unit Circle. cos 87° ≈ 0.0523. The cosine is the x-coordinate of the point at 87° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--87/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    84°≈ 0.1045
    85°≈ 0.0872
    86°≈ 0.0698
    87°≈ 0.0523
    88°≈ 0.0349
    89°≈ 0.0175
    90°0
    Recalculate with different values ↑

    FAQ

    What is cos 87°?

    cos 87° ≈ 0.0523

    Is there an exact value of cos 87°?

    Yes: 87° 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 87° ≈ 0.0523.

    Why does a calculator show 0.5698 for cos 87?

    The calculator is in radian mode (RAD): it takes cos 87 as the cosine of 87 radians, cos 87 rad ≈ 0.5698. Switch it to degrees (DEG): cos 87° ≈ 0.0523. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also