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    Cot 200 Degrees

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

    What is cot 200°?

    Answer

    cot 200° ≈
    2.7475

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

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

    cot 200° = cot(180° + 20°) = cot 20° ≈ 2.7475

    cot 200° = cos 200° / sin 200° ≈ 2.7475

    xyOP

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

    C(cot 200°, 1) ≈ (2.7475, 1) — where line OP meets the line y = 1, on the extension of the ray beyond O (dashed); C is beyond the drawing, the arrow points to it.

    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: cot 20° ≈ 2.7475

    See Also

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    https://calculat.io/en/number/trigonometry/cot--200Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--200">Cot 200 Degrees: Cotangent of 200° on the Unit Circle</a>Copy
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    Cot 200 Degrees: Cotangent of 200° on the Unit Circle. cot 200° ≈ 2.7475. The cotangent is the ratio x/y of the point at 200° on the unit circle; 200° reduces to 20°.
    https://calculat.io/en/number/trigonometry/cot--200/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    180°undefined
    195°2 + √3
    198°√(5 + 2√5)
    200°≈ 2.7475
    210°√3
    211°≈ 1.6643
    215°≈ 1.4281
    Recalculate with different values ↑

    FAQ

    What is cot 200°?

    cot 200° ≈ 2.7475

    Why does cot 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: cot 200° ≈ 2.7475.

    Why does a calculator show −0.5579 for cot 200?

    The calculator is in radian mode (RAD): it takes cot 200 as the cotangent of 200 radians, cot 200 rad ≈ −0.5579. Switch it to degrees (DEG): cot 200° ≈ 2.7475. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also