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    Cot 167 Degrees

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

    What is cot 167°?

    Answer

    cot 167° ≈
    −4.3315

    Angle in radians: 167° = 167π/180. The point of the angle is in quadrant II, where cotangent is negative.

    ≈ — rounded to 4 decimal places. cot 167° can't be written with square roots: 167° is not a multiple of 3°.

    cot 167° = cot(180° − 13°) = −cot 13° ≈ −4.3315

    cot 167° = cos 167° / sin 167° ≈ −4.3315

    xyOP

    P(cos 167°, sin 167°) ≈ (−0.9744, 0.2250)

    C(cot 167°, 1) ≈ (−4.3315, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

    All four functions of 167°
    FunctionExact valueDecimal
    sin 167°—≈ 0.2250
    cos 167°—≈ −0.9744
    tan 167°—≈ −0.2309
    cot 167°—≈ −4.3315

    Reference angle: cot 13° ≈ 4.3315

    See Also

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    https://calculat.io/en/number/trigonometry/cot--167Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--167">Cot 167 Degrees: Cotangent of 167° on the Unit Circle</a>Copy
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    Cot 167 Degrees: Cotangent of 167° on the Unit Circle. cot 167° ≈ −4.3315. The cotangent is the ratio x/y of the point at 167° on the unit circle; 167° reduces to 13°.
    https://calculat.io/en/number/trigonometry/cot--167/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    162°−√(5 + 2√5)
    164°≈ −3.4874
    165°−2 − √3
    167°≈ −4.3315
    175°≈ −11.4301
    179°≈ −57.2900
    180°undefined
    Recalculate with different values ↑

    FAQ

    What is cot 167°?

    cot 167° ≈ −4.3315

    Why does cot 167° 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°. 167° is not, so no such exact form exists; the value is used as a decimal: cot 167° ≈ −4.3315.

    Why does a calculator show 1.8498 for cot 167?

    The calculator is in radian mode (RAD): it takes cot 167 as the cotangent of 167 radians, cot 167 rad ≈ 1.8498. Switch it to degrees (DEG): cot 167° ≈ −4.3315. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also