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    Cos 200 Degrees

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

    What is cos 200°?

    Answer

    cos 200° ≈
    −0.9397

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

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

    cos 200° = cos(180° + 20°) = −cos 20° ≈ −0.9397

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

    xyOP

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

    Highlighted: the projection on the x-axis — cosine, x ≈ −0.9397.

    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: cos 20° ≈ 0.9397

    See Also

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    https://calculat.io/en/number/trigonometry/cos--200Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--200">Cos 200 Degrees: Cosine of 200° on the Unit Circle</a>Copy
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    Cos 200 Degrees: Cosine of 200° on the Unit Circle. cos 200° ≈ −0.9397. The cosine is the x-coordinate of the point at 200° on the unit circle; 200° reduces to 20°.
    https://calculat.io/en/number/trigonometry/cos--200/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    180°−1
    195°−(√6 + √2)/4
    198°−√(10 + 2√5)/4
    200°≈ −0.9397
    210°−√3/2
    211°≈ −0.8572
    215°≈ −0.8192
    Recalculate with different values ↑

    FAQ

    What is cos 200°?

    cos 200° ≈ −0.9397

    Why does cos 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: cos 200° ≈ −0.9397.

    Why does a calculator show 0.4872 for cos 200?

    The calculator is in radian mode (RAD): it takes cos 200 as the cosine of 200 radians, cos 200 rad ≈ 0.4872. Switch it to degrees (DEG): cos 200° ≈ −0.9397. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also