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    Cos 540 Degrees

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

    What is cos 540°?

    Answer

    cos 540° =
    −1

    Angle in radians: 540° = 3π. 540° = 360° + 180° — a full turn plus 180°: the point is on the x-axis, (−1, 0).

    cos 540° = cos(540° − 360°) = cos 180°

    P(cos 540°, sin 540°) = (−1, 0)

    xyOP

    P(cos 540°, sin 540°) = (−1, 0)

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

    +1 turn: the drawing shows 180°.

    All four functions of 540°
    FunctionExact valueDecimal
    sin 540°00
    cos 540°−1−1
    tan 540°00
    cot 540°undefined—

    Reference angle: cos 0° = 1

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    <a href="https://calculat.io/en/number/trigonometry/cos--540">Cos 540 Degrees: Cosine of 540° on the Unit Circle</a>Copy
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    Cos 540 Degrees: Cosine of 540° on the Unit Circle. cos 540° = −1. The cosine is the x-coordinate of the point at 540° on the unit circle.
    https://calculat.io/en/number/trigonometry/cos--540/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 540°?

    cos 540° = −1

    Why is cos 540° equal to −1?

    540° ends at the same point as 180°, (−1, 0), and cosine is its the x-coordinate, so cos 540° = −1.

    Why does a calculator show 0.9380 for cos 540?

    The calculator is in radian mode (RAD): it takes cos 540 as the cosine of 540 radians, cos 540 rad ≈ 0.9380. Switch it to degrees (DEG): cos 540° = −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