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    Tan 200 Degrees

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

    What is tan 200°?

    Answer

    tan 200° ≈
    0.3640

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

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

    tan 200° = tan(180° + 20°) = tan 20° ≈ 0.3640

    tan 200° = sin 200° / cos 200° ≈ 0.3640

    xyOP

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

    T(1, tan 200°) ≈ (1, 0.3640) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

    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: tan 20° ≈ 0.3640

    See Also

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    https://calculat.io/en/number/trigonometry/tan--200Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--200">Tan 200 Degrees: Tangent of 200° on the Unit Circle</a>Copy
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    Tan 200 Degrees: Tangent of 200° on the Unit Circle. tan 200° ≈ 0.3640. The tangent is the ratio y/x of the point at 200° on the unit circle; 200° reduces to 20°.
    https://calculat.io/en/number/trigonometry/tan--200/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    180°0
    195°2 − √3
    198°√(25 − 10√5)/5
    200°≈ 0.3640
    210°√3/3
    211°≈ 0.6009
    215°≈ 0.7002
    Recalculate with different values ↑

    FAQ

    What is tan 200°?

    tan 200° ≈ 0.3640

    Why does tan 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: tan 200° ≈ 0.3640.

    Why does a calculator show −1.7925 for tan 200?

    The calculator is in radian mode (RAD): it takes tan 200 as the tangent of 200 radians, tan 200 rad ≈ −1.7925. Switch it to degrees (DEG): tan 200° ≈ 0.3640. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also