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    Sin 180 Degrees

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

    What is sin 180°?

    Answer

    sin 180° =
    0

    Angle in radians: 180° = π. The point of the angle is on the x-axis: (−1, 0).

    P(cos 180°, sin 180°) = (−1, 0)

    xyOP

    P(cos 180°, sin 180°) = (−1, 0)

    The point lies on the x-axis, so its projection on the y-axis is 0: sin 180° = 0.

    All four functions of 180°
    FunctionExact valueDecimal
    sin 180°00
    cos 180°−1−1
    tan 180°00
    cot 180°undefined—

    Reference angle: sin 0° = 0

    See Also

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    https://calculat.io/en/number/trigonometry/sin--180Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--180">Sin 180 Degrees: Sine of 180° on the Unit Circle</a>Copy
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    Sin 180 Degrees: Sine of 180° on the Unit Circle. sin 180° = 0. The sine is the y-coordinate of the point at 180° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--180/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    167°≈ 0.2250
    175°≈ 0.0872
    179°≈ 0.0175
    180°0
    195°−(√6 − √2)/4
    198°−(√5 − 1)/4
    200°≈ −0.3420
    Recalculate with different values ↑

    FAQ

    What is sin 180°?

    sin 180° = 0

    Why is sin 180° equal to 0?

    The point of 180° on the unit circle is (−1, 0), and sine is its the y-coordinate, so sin 180° = 0.

    Why does a calculator show −0.8012 for sin 180?

    The calculator is in radian mode (RAD): it takes sin 180 as the sine of 180 radians, sin 180 rad ≈ −0.8012. Switch it to degrees (DEG): sin 180° = 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