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    Cos 720 Degrees

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

    What is cos 720°?

    Answer

    cos 720° =
    1

    Angle in radians: 720° = 4π. 720° = 2 · 360° — two full turns: the point is on the x-axis, (1, 0).

    cos 720° = cos(720° − 2 · 360°) = cos 0°

    P(cos 720°, sin 720°) = (1, 0)

    xyOP

    P(cos 720°, sin 720°) = (1, 0)

    Highlighted: the projection on the x-axis — cosine, x = 1.

    +2 turns: the drawing shows 0°.

    All four functions of 720°
    FunctionExact valueDecimal
    sin 720°00
    cos 720°11
    tan 720°00
    cot 720°undefined—

    Reference angle: cos 0° = 1

    See Also

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    https://calculat.io/en/number/trigonometry/cos--720Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--720">Cos 720 Degrees: Cosine of 720° on the Unit Circle</a>Copy
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    Cos 720 Degrees: Cosine of 720° on the Unit Circle. cos 720° = 1. The cosine is the x-coordinate of the point at 720° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--720/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    390°√3/2
    400°≈ 0.7660
    450°0
    540°−1
    570°−√3/2
    690°√3/2
    720°1
    Recalculate with different values ↑

    FAQ

    What is cos 720°?

    cos 720° = 1

    Why is cos 720° equal to 1?

    720° ends at the same point as 0°, (1, 0), and cosine is its the x-coordinate, so cos 720° = 1.

    Why does a calculator show −0.8390 for cos 720?

    The calculator is in radian mode (RAD): it takes cos 720 as the cosine of 720 radians, cos 720 rad ≈ −0.8390. Switch it to degrees (DEG): cos 720° = 1. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also