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    Cot 160 Degrees

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

    What is cot 160°?

    Answer

    cot 160° ≈
    −2.7475

    Angle in radians: 160° = 8π/9. The point of the angle is in quadrant II, where cotangent is negative.

    ≈ — rounded to 4 decimal places. cot 160° can't be written with square roots: 160° is not a multiple of 3°.

    cot 160° = cot(180° − 20°) = −cot 20° ≈ −2.7475

    cot 160° = cos 160° / sin 160° ≈ −2.7475

    xyOP

    P(cos 160°, sin 160°) ≈ (−0.9397, 0.3420)

    C(cot 160°, 1) ≈ (−2.7475, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

    All four functions of 160°
    FunctionExact valueDecimal
    sin 160°—≈ 0.3420
    cos 160°—≈ −0.9397
    tan 160°—≈ −0.3640
    cot 160°—≈ −2.7475

    Reference angle: cot 20° ≈ 2.7475

    See Also

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    https://calculat.io/en/number/trigonometry/cot--160Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--160">Cot 160 Degrees: Cotangent of 160° on the Unit Circle</a>Copy
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    Cot 160 Degrees: Cotangent of 160° on the Unit Circle. cot 160° ≈ −2.7475. The cotangent is the ratio x/y of the point at 160° on the unit circle; 160° reduces to 20°.
    https://calculat.io/en/number/trigonometry/cot--160/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    145°≈ −1.4281
    150°−√3
    159°≈ −2.6051
    160°≈ −2.7475
    162°−√(5 + 2√5)
    164°≈ −3.4874
    165°−2 − √3
    Recalculate with different values ↑

    FAQ

    What is cot 160°?

    cot 160° ≈ −2.7475

    Why does cot 160° 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°. 160° is not, so no such exact form exists; the value is used as a decimal: cot 160° ≈ −2.7475.

    Why does a calculator show −4.4463 for cot 160?

    The calculator is in radian mode (RAD): it takes cot 160 as the cotangent of 160 radians, cot 160 rad ≈ −4.4463. Switch it to degrees (DEG): cot 160° ≈ −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