Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    Sin 540 Degrees

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

    What is sin 540°?

    Answer

    sin 540° =
    0

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

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

    P(cos 540°, sin 540°) = (−1, 0)

    xyOP

    P(cos 540°, sin 540°) = (−1, 0)

    The point lies on the x-axis, so its projection on the y-axis is 0: sin 540° = 0.

    +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: sin 0° = 0

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/trigonometry/sin--540Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--540">Sin 540 Degrees: Sine of 540° on the Unit Circle</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Sin 540 Degrees: Sine of 540° on the Unit Circle. sin 540° = 0. The sine is the y-coordinate of the point at 540° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--540/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    390°1/2
    400°≈ 0.6428
    450°1
    540°0
    570°−1/2
    690°−1/2
    720°0
    Recalculate with different values ↑

    FAQ

    What is sin 540°?

    sin 540° = 0

    Why is sin 540° equal to 0?

    540° ends at the same point as 180°, (−1, 0), and sine is its the y-coordinate, so sin 540° = 0.

    Why does a calculator show −0.3466 for sin 540?

    The calculator is in radian mode (RAD): it takes sin 540 as the sine of 540 radians, sin 540 rad ≈ −0.3466. Switch it to degrees (DEG): sin 540° = 0. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also