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    Cot 195 Degrees

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

    What is cot 195°?

    Answer

    cot 195° =
    2 + √3 ≈ 3.7321

    Angle in radians: 195° = 13π/12. The point of the angle is in quadrant III, where cotangent is positive.

    ≈ — rounded to 4 decimal places.

    cot 195° = cot(180° + 15°) = cot 15° = 2 + √3

    cot 195° = cos 195° / sin 195° = (−(√6 + √2)/4) / (−(√6 − √2)/4) = 2 + √3

    cot 15° = 1 / tan 15° = 1 / (2 − √3) = 2 + √3

    xyOP

    P(cos 195°, sin 195°) ≈ (−0.9659, −0.2588)

    C(cot 195°, 1) ≈ (3.7321, 1) — where line OP meets the line y = 1, on the extension of the ray beyond O (dashed); C is beyond the drawing, the arrow points to it.

    All four functions of 195°
    FunctionExact valueDecimal
    sin 195°−(√6 − √2)/4≈ −0.2588
    cos 195°−(√6 + √2)/4≈ −0.9659
    tan 195°2 − √3≈ 0.2679
    cot 195°2 + √3≈ 3.7321

    Reference angle: cot 15° = 2 + √3

    See Also

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    https://calculat.io/en/number/trigonometry/cot--195Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--195">Cot 195 Degrees: Cotangent of 195° on the Unit Circle</a>Copy
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    Cot 195 Degrees: Cotangent of 195° on the Unit Circle. cot 195° = 2 + √3 ≈ 3.7321. The cotangent is the ratio x/y of the point at 195° on the unit circle; 195° reduces to 15°.
    https://calculat.io/en/number/trigonometry/cot--195/generated.jpgCopy

    Cotangent of nearby angles

    Anglecot
    175°≈ −11.4301
    179°≈ −57.2900
    180°undefined
    195°2 + √3
    198°√(5 + 2√5)
    200°≈ 2.7475
    210°√3
    Recalculate with different values ↑

    FAQ

    What is cot 195°?

    cot 195° = 2 + √3 ≈ 3.7321

    How are sin 15° and cos 75° related?

    They are equal: sin α = cos(90° − α), and 15° + 75° = 90°. So sin 15° = cos 75° = (√6 − √2)/4, cos 15° = sin 75° = (√6 + √2)/4, and tan 15° = cot 75° = 2 − √3.

    Why does a calculator show 4.4457 for cot 195?

    The calculator is in radian mode (RAD): it takes cot 195 as the cotangent of 195 radians, cot 195 rad ≈ 4.4457. Switch it to degrees (DEG): cot 195° = 2 + √3 ≈ 3.7321. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also