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    Sin 570 Degrees

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

    What is sin 570°?

    Answer

    sin 570° =
    −1/2 = −0.5

    Angle in radians: 570° = 19π/6. 570° = 360° + 210° — a full turn plus 210°, quadrant III, where sine is negative.

    sin 570° = sin(570° − 360°) = sin 210°

    sin 210° = sin(180° + 30°) = −sin 30° = −1/2

    P(cos 570°, sin 570°) = (−√3/2, −1/2)

    Half of an equilateral triangle with side 1: the hypotenuse is 1 and the leg opposite 30° is 1/2.

    sin 30° = 1/2

    xyOP

    P(cos 570°, sin 570°) ≈ (−0.8660, −0.5)

    Highlighted: the projection on the y-axis — sine, y = −0.5.

    +1 turn: the drawing shows 210°.

    All four functions of 570°
    FunctionExact valueDecimal
    sin 570°−1/2−0.5
    cos 570°−√3/2≈ −0.8660
    tan 570°√3/3≈ 0.5774
    cot 570°√3≈ 1.7321

    Reference angle: sin 30° = 1/2

    See Also

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    https://calculat.io/en/number/trigonometry/sin--570Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--570">Sin 570 Degrees: Sine of 570° on the Unit Circle</a>Copy
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    Sin 570 Degrees: Sine of 570° on the Unit Circle. sin 570° = −1/2 = −0.5. The sine is the y-coordinate of the point at 570° on the unit circle; 570° reduces to 30°.
    https://calculat.io/en/number/trigonometry/sin--570/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 570°?

    sin 570° = −1/2 = −0.5

    How to remember sin 30°, sin 45° and sin 60°?

    Write them as √1/2, √2/2, √3/2: sin 30° = 1/2, sin 45° = √2/2, sin 60° = √3/2. Cosines are the same numbers in reverse order: cos 30° = √3/2, cos 45° = √2/2, cos 60° = 1/2; tan = sin / cos and cot = cos / sin. Here: sin 570° = −1/2 = −0.5.

    Why does a calculator show −0.9803 for sin 570?

    The calculator is in radian mode (RAD): it takes sin 570 as the sine of 570 radians, sin 570 rad ≈ −0.9803. Switch it to degrees (DEG): sin 570° = −1/2 = −0.5. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also