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    Cos 360 Degrees

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

    What is cos 360°?

    Answer

    cos 360° =
    1

    Angle in radians: 360° = 2π. 360° is a full turn: the point is on the x-axis, (1, 0).

    cos 360° = cos(360° − 360°) = cos 0°

    P(cos 360°, sin 360°) = (1, 0)

    xyOP

    P(cos 360°, sin 360°) = (1, 0)

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

    +1 turn: the drawing shows 0°.

    All four functions of 360°
    FunctionExact valueDecimal
    sin 360°00
    cos 360°11
    tan 360°00
    cot 360°undefined—

    Reference angle: cos 0° = 1

    See Also

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    https://calculat.io/en/number/trigonometry/cos--360Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--360">Cos 360 Degrees: Cosine of 360° on the Unit Circle</a>Copy
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    Cos 360 Degrees: Cosine of 360° on the Unit Circle. cos 360° = 1. The cosine is the x-coordinate of the point at 360° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--360/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    342°√(10 + 2√5)/4
    345°(√6 + √2)/4
    355°≈ 0.9962
    360°1
    390°√3/2
    400°≈ 0.7660
    450°0
    Recalculate with different values ↑

    FAQ

    What is cos 360°?

    cos 360° = 1

    Why is cos 360° equal to 1?

    360° ends at the same point as 0°, (1, 0), and cosine is its the x-coordinate, so cos 360° = 1.

    Why does a calculator show −0.2837 for cos 360?

    The calculator is in radian mode (RAD): it takes cos 360 as the cosine of 360 radians, cos 360 rad ≈ −0.2837. Switch it to degrees (DEG): cos 360° = 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