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    Sin 270 Degrees

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

    What is sin 270°?

    Answer

    sin 270° =
    −1

    Angle in radians: 270° = 3π/2. The point of the angle is on the y-axis: (0, −1).

    P(cos 270°, sin 270°) = (0, −1)

    xyOP

    P(cos 270°, sin 270°) = (0, −1)

    Highlighted: the projection on the y-axis — sine, y = −1.

    All four functions of 270°
    FunctionExact valueDecimal
    sin 270°−1−1
    cos 270°00
    tan 270°undefined—
    cot 270°00

    Reference angle: sin 90° = 1

    See Also

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    https://calculat.io/en/number/trigonometry/sin--270Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--270">Sin 270 Degrees: Sine of 270° on the Unit Circle</a>Copy
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    Sin 270 Degrees: Sine of 270° on the Unit Circle. sin 270° = −1. The sine is the y-coordinate of the point at 270° on the unit circle.
    https://calculat.io/en/number/trigonometry/sin--270/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    240°−√3/2
    252°−√(10 + 2√5)/4
    255°−(√6 + √2)/4
    270°−1
    285°−(√6 + √2)/4
    288°−√(10 + 2√5)/4
    300°−√3/2
    Recalculate with different values ↑

    FAQ

    What is sin 270°?

    sin 270° = −1

    Why is sin 270° equal to −1?

    The point of 270° on the unit circle is (0, −1), and sine is its the y-coordinate, so sin 270° = −1.

    Why does a calculator show −0.1760 for sin 270?

    The calculator is in radian mode (RAD): it takes sin 270 as the sine of 270 radians, sin 270 rad ≈ −0.1760. Switch it to degrees (DEG): sin 270° = −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