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    Cot 175 Degrees

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

    What is cot 175°?

    Answer

    cot 175° ≈
    −11.4301

    Angle in radians: 175° = 35π/36. The point of the angle is in quadrant II, where cotangent is negative.

    ≈ — rounded to 4 decimal places. cot 175° can't be written with square roots: 175° is not a multiple of 3°.

    cot 175° = cot(180° − 5°) = −cot 5° ≈ −11.4301

    cot 175° = cos 175° / sin 175° ≈ −11.4301

    xyOP

    P(cos 175°, sin 175°) ≈ (−0.9962, 0.0872)

    C(cot 175°, 1) ≈ (−11.4301, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

    All four functions of 175°
    FunctionExact valueDecimal
    sin 175°—≈ 0.0872
    cos 175°—≈ −0.9962
    tan 175°—≈ −0.0875
    cot 175°—≈ −11.4301

    Reference angle: cot 5° ≈ 11.4301

    See Also

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    https://calculat.io/en/number/trigonometry/cot--175Copy
    <a href="https://calculat.io/en/number/trigonometry/cot--175">Cot 175 Degrees: Cotangent of 175° on the Unit Circle</a>Copy
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    Cot 175 Degrees: Cotangent of 175° on the Unit Circle. cot 175° ≈ −11.4301. The cotangent is the ratio x/y of the point at 175° on the unit circle; 175° reduces to 5°.
    https://calculat.io/en/number/trigonometry/cot--175/generated.jpgCopy

    FAQ

    What is cot 175°?

    cot 175° ≈ −11.4301

    Why does cot 175° 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°. 175° is not, so no such exact form exists; the value is used as a decimal: cot 175° ≈ −11.4301.

    Why does a calculator show −0.7470 for cot 175?

    The calculator is in radian mode (RAD): it takes cot 175 as the cotangent of 175 radians, cot 175 rad ≈ −0.7470. Switch it to degrees (DEG): cot 175° ≈ −11.4301. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.