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    Cos 167 Degrees

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

    What is cos 167°?

    Answer

    cos 167° ≈
    −0.9744

    Angle in radians: 167° = 167π/180. The point of the angle is in quadrant II, where cosine is negative.

    ≈ — rounded to 4 decimal places. cos 167° can't be written with square roots: 167° is not a multiple of 3°.

    cos 167° = cos(180° − 13°) = −cos 13° ≈ −0.9744

    P(cos 167°, sin 167°) ≈ (−0.9744, 0.2250)

    xyOP

    P(cos 167°, sin 167°) ≈ (−0.9744, 0.2250)

    Highlighted: the projection on the x-axis — cosine, x ≈ −0.9744.

    All four functions of 167°
    FunctionExact valueDecimal
    sin 167°—≈ 0.2250
    cos 167°—≈ −0.9744
    tan 167°—≈ −0.2309
    cot 167°—≈ −4.3315

    Reference angle: cos 13° ≈ 0.9744

    See Also

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    https://calculat.io/en/number/trigonometry/cos--167Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--167">Cos 167 Degrees: Cosine of 167° on the Unit Circle</a>Copy
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    Cos 167 Degrees: Cosine of 167° on the Unit Circle. cos 167° ≈ −0.9744. The cosine is the x-coordinate of the point at 167° on the unit circle; 167° reduces to 13°.
    https://calculat.io/en/number/trigonometry/cos--167/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    162°−√(10 + 2√5)/4
    164°≈ −0.9613
    165°−(√6 + √2)/4
    167°≈ −0.9744
    175°≈ −0.9962
    179°≈ −0.9998
    180°−1
    Recalculate with different values ↑

    FAQ

    What is cos 167°?

    cos 167° ≈ −0.9744

    Why does cos 167° 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°. 167° is not, so no such exact form exists; the value is used as a decimal: cos 167° ≈ −0.9744.

    Why does a calculator show −0.8797 for cos 167?

    The calculator is in radian mode (RAD): it takes cos 167 as the cosine of 167 radians, cos 167 rad ≈ −0.8797. Switch it to degrees (DEG): cos 167° ≈ −0.9744. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also