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    Cot 78 Degrees

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

    What is cot 78°?

    Answer

    cot 78° ≈
    0.2126

    Angle in radians: 78° = 13π/30. The point of the angle is in quadrant I, where cotangent is positive.

    ≈ — rounded to 4 decimal places. An exact form of cot 78° in square roots exists, but it is unwieldy — nested radicals.

    cot 78° = cos 78° / sin 78° ≈ 0.2126

    xyOP

    P(cos 78°, sin 78°) ≈ (0.2079, 0.9781)

    C(cot 78°, 1) ≈ (0.2126, 1) — where line OP meets the line y = 1.

    All four functions of 78°
    FunctionExact valueDecimal
    sin 78°—≈ 0.9781
    cos 78°—≈ 0.2079
    tan 78°—≈ 4.7046
    cot 78°—≈ 0.2126

    See Also

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    https://calculat.io/en/number/trigonometry/cot--78Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--78">Cot 78 Degrees: Cotangent of 78° on the Unit Circle</a>Copy
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    Cot 78 Degrees: Cotangent of 78° on the Unit Circle. cot 78° ≈ 0.2126. The cotangent is the ratio x/y of the point at 78° on the unit circle.
    https://calculat.io/en/number/trigonometry/cot--78/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    75°2 − √3
    76°≈ 0.2493
    77°≈ 0.2309
    78°≈ 0.2126
    79°≈ 0.1944
    80°≈ 0.1763
    81°≈ 0.1584
    Recalculate with different values ↑

    FAQ

    What is cot 78°?

    cot 78° ≈ 0.2126

    Is there an exact value of cot 78°?

    Yes: 78° 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 78° ≈ 0.2126.

    Why does a calculator show −1.6689 for cot 78?

    The calculator is in radian mode (RAD): it takes cot 78 as the cotangent of 78 radians, cot 78 rad ≈ −1.6689. Switch it to degrees (DEG): cot 78° ≈ 0.2126. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also