Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    Sin 360 Degrees

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

    What is sin 360°?

    Answer

    sin 360° =
    0

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

    sin 360° = sin(360° − 360°) = sin 0°

    P(cos 360°, sin 360°) = (1, 0)

    xyOP

    P(cos 360°, sin 360°) = (1, 0)

    The point lies on the x-axis, so its projection on the y-axis is 0: sin 360° = 0.

    +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: sin 0° = 0

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/trigonometry/sin--360Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--360">Sin 360 Degrees: Sine of 360° on the Unit Circle</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Sin 360 Degrees: Sine of 360° on the Unit Circle. sin 360° = 0. The sine is the y-coordinate of the point at 360° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--360/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    342°−(√5 − 1)/4
    345°−(√6 − √2)/4
    355°≈ −0.0872
    360°0
    390°1/2
    400°≈ 0.6428
    450°1
    Recalculate with different values ↑

    FAQ

    What is sin 360°?

    sin 360° = 0

    Why is sin 360° equal to 0?

    360° ends at the same point as 0°, (1, 0), and sine is its the y-coordinate, so sin 360° = 0.

    Why does a calculator show 0.9589 for sin 360?

    The calculator is in radian mode (RAD): it takes sin 360 as the sine of 360 radians, sin 360 rad ≈ 0.9589. Switch it to degrees (DEG): sin 360° = 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