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    Cos 164 Degrees

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

    What is cos 164°?

    Answer

    cos 164° ≈
    −0.9613

    Angle in radians: 164° = 41π/45. The point of the angle is in quadrant II, where cosine is negative.

    ≈ — rounded to 4 decimal places. cos 164° can't be written with square roots: 164° is not a multiple of 3°.

    cos 164° = cos(180° − 16°) = −cos 16° ≈ −0.9613

    P(cos 164°, sin 164°) ≈ (−0.9613, 0.2756)

    xyOP

    P(cos 164°, sin 164°) ≈ (−0.9613, 0.2756)

    Highlighted: the projection on the x-axis — cosine, x ≈ −0.9613.

    All four functions of 164°
    FunctionExact valueDecimal
    sin 164°—≈ 0.2756
    cos 164°—≈ −0.9613
    tan 164°—≈ −0.2867
    cot 164°—≈ −3.4874

    Reference angle: cos 16° ≈ 0.9613

    See Also

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    https://calculat.io/en/number/trigonometry/cos--164Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--164">Cos 164 Degrees: Cosine of 164° on the Unit Circle</a>Copy
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    Cos 164 Degrees: Cosine of 164° on the Unit Circle. cos 164° ≈ −0.9613. The cosine is the x-coordinate of the point at 164° on the unit circle; 164° reduces to 16°.
    https://calculat.io/en/number/trigonometry/cos--164/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    159°≈ −0.9336
    160°≈ −0.9397
    162°−√(10 + 2√5)/4
    164°≈ −0.9613
    165°−(√6 + √2)/4
    167°≈ −0.9744
    175°≈ −0.9962
    Recalculate with different values ↑

    FAQ

    What is cos 164°?

    cos 164° ≈ −0.9613

    Why does cos 164° 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°. 164° is not, so no such exact form exists; the value is used as a decimal: cos 164° ≈ −0.9613.

    Why does a calculator show 0.8038 for cos 164?

    The calculator is in radian mode (RAD): it takes cos 164 as the cosine of 164 radians, cos 164 rad ≈ 0.8038. Switch it to degrees (DEG): cos 164° ≈ −0.9613. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also