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    Cot 164 Degrees

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

    What is cot 164°?

    Answer

    cot 164° ≈
    −3.4874

    Angle in radians: 164° = 41π/45. The point of the angle is in quadrant II, where cotangent is negative.

    ≈ — rounded to 4 decimal places. cot 164° can't be written with square roots: 164° is not a multiple of 3°.

    cot 164° = cot(180° − 16°) = −cot 16° ≈ −3.4874

    cot 164° = cos 164° / sin 164° ≈ −3.4874

    xyOP

    P(cos 164°, sin 164°) ≈ (−0.9613, 0.2756)

    C(cot 164°, 1) ≈ (−3.4874, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

    All four functions of 164°
    FunctionExact valueDecimal
    sin 164°—≈ 0.2756
    cos 164°—≈ −0.9613
    tan 164°—≈ −0.2867
    cot 164°—≈ −3.4874

    Reference angle: cot 16° ≈ 3.4874

    See Also

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    https://calculat.io/en/number/trigonometry/cot--164Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--164">Cot 164 Degrees: Cotangent of 164° on the Unit Circle</a>Copy
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    Cot 164 Degrees: Cotangent of 164° on the Unit Circle. cot 164° ≈ −3.4874. The cotangent is the ratio x/y of the point at 164° on the unit circle; 164° reduces to 16°.
    https://calculat.io/en/number/trigonometry/cot--164/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    159°≈ −2.6051
    160°≈ −2.7475
    162°−√(5 + 2√5)
    164°≈ −3.4874
    165°−2 − √3
    167°≈ −4.3315
    175°≈ −11.4301
    Recalculate with different values ↑

    FAQ

    What is cot 164°?

    cot 164° ≈ −3.4874

    Why does cot 164° 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°. 164° is not, so no such exact form exists; the value is used as a decimal: cot 164° ≈ −3.4874.

    Why does a calculator show 1.3510 for cot 164?

    The calculator is in radian mode (RAD): it takes cot 164 as the cotangent of 164 radians, cot 164 rad ≈ 1.3510. Switch it to degrees (DEG): cot 164° ≈ −3.4874. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also