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    Cot 159 Degrees

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

    What is cot 159°?

    Answer

    cot 159° ≈
    −2.6051

    Angle in radians: 159° = 53π/60. The point of the angle is in quadrant II, where cotangent is negative.

    ≈ — rounded to 4 decimal places. An exact form of cot 159° in square roots exists, but it is unwieldy — nested radicals.

    cot 159° = cot(180° − 21°) = −cot 21° ≈ −2.6051

    cot 159° = cos 159° / sin 159° ≈ −2.6051

    xyOP

    P(cos 159°, sin 159°) ≈ (−0.9336, 0.3584)

    C(cot 159°, 1) ≈ (−2.6051, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

    All four functions of 159°
    FunctionExact valueDecimal
    sin 159°—≈ 0.3584
    cos 159°—≈ −0.9336
    tan 159°—≈ −0.3839
    cot 159°—≈ −2.6051

    Reference angle: cot 21° ≈ 2.6051

    See Also

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    https://calculat.io/en/number/trigonometry/cot--159Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--159">Cot 159 Degrees: Cotangent of 159° on the Unit Circle</a>Copy
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    Cot 159 Degrees: Cotangent of 159° on the Unit Circle. cot 159° ≈ −2.6051. The cotangent is the ratio x/y of the point at 159° on the unit circle; 159° reduces to 21°.
    https://calculat.io/en/number/trigonometry/cot--159/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    144°−√(25 + 10√5)/5
    145°≈ −1.4281
    150°−√3
    159°≈ −2.6051
    160°≈ −2.7475
    162°−√(5 + 2√5)
    164°≈ −3.4874
    Recalculate with different values ↑

    FAQ

    What is cot 159°?

    cot 159° ≈ −2.6051

    Is there an exact value of cot 159°?

    Yes: 159° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: cot 159° ≈ −2.6051.

    Why does a calculator show −0.3645 for cot 159?

    The calculator is in radian mode (RAD): it takes cot 159 as the cotangent of 159 radians, cot 159 rad ≈ −0.3645. Switch it to degrees (DEG): cot 159° ≈ −2.6051. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also