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    Sin 200 Degrees

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

    What is sin 200°?

    Answer

    sin 200° ≈
    −0.3420

    Angle in radians: 200° = 10π/9. The point of the angle is in quadrant III, where sine is negative.

    ≈ — rounded to 4 decimal places. sin 200° can't be written with square roots: 200° is not a multiple of 3°.

    sin 200° = sin(180° + 20°) = −sin 20° ≈ −0.3420

    P(cos 200°, sin 200°) ≈ (−0.9397, −0.3420)

    xyOP

    P(cos 200°, sin 200°) ≈ (−0.9397, −0.3420)

    Highlighted: the projection on the y-axis — sine, y ≈ −0.3420.

    All four functions of 200°
    FunctionExact valueDecimal
    sin 200°—≈ −0.3420
    cos 200°—≈ −0.9397
    tan 200°—≈ 0.3640
    cot 200°—≈ 2.7475

    Reference angle: sin 20° ≈ 0.3420

    See Also

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    https://calculat.io/en/number/trigonometry/sin--200Copy
    <a href="https://calculat.io/en/number/trigonometry/sin--200">Sin 200 Degrees: Sine of 200° on the Unit Circle</a>Copy
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    Sin 200 Degrees: Sine of 200° on the Unit Circle. sin 200° ≈ −0.3420. The sine is the y-coordinate of the point at 200° on the unit circle; 200° reduces to 20°.
    https://calculat.io/en/number/trigonometry/sin--200/generated.jpgCopy

    Sine of nearby angles

    Anglesin
    180°0
    195°−(√6 − √2)/4
    198°−(√5 − 1)/4
    200°≈ −0.3420
    210°−1/2
    211°≈ −0.5150
    215°≈ −0.5736
    Recalculate with different values ↑

    FAQ

    What is sin 200°?

    sin 200° ≈ −0.3420

    Why does sin 200° have no exact value?

    A trigonometric value of a whole number of degrees can be written with square roots only when the angle is a multiple of 3°. 200° is not, so no such exact form exists; the value is used as a decimal: sin 200° ≈ −0.3420.

    Why does a calculator show −0.8733 for sin 200?

    The calculator is in radian mode (RAD): it takes sin 200 as the sine of 200 radians, sin 200 rad ≈ −0.8733. Switch it to degrees (DEG): sin 200° ≈ −0.3420. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also