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    Cos 175 Degrees

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

    What is cos 175°?

    Answer

    cos 175° ≈
    −0.9962

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

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

    cos 175° = cos(180° − 5°) = −cos 5° ≈ −0.9962

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

    xyOP

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

    Highlighted: the projection on the x-axis — cosine, x ≈ −0.9962.

    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: cos 5° ≈ 0.9962

    See Also

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    https://calculat.io/en/number/trigonometry/cos--175Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--175">Cos 175 Degrees: Cosine of 175° on the Unit Circle</a>Copy
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    Cos 175 Degrees: Cosine of 175° on the Unit Circle. cos 175° ≈ −0.9962. The cosine is the x-coordinate of the point at 175° on the unit circle; 175° reduces to 5°.
    https://calculat.io/en/number/trigonometry/cos--175/generated.jpgCopy

    FAQ

    What is cos 175°?

    cos 175° ≈ −0.9962

    Why does cos 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: cos 175° ≈ −0.9962.

    Why does a calculator show 0.5985 for cos 175?

    The calculator is in radian mode (RAD): it takes cos 175 as the cosine of 175 radians, cos 175 rad ≈ 0.5985. Switch it to degrees (DEG): cos 175° ≈ −0.9962. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.