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    Cos 106 Degrees

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

    What is cos 106°?

    Answer

    cos 106° ≈
    −0.2756

    Angle in radians: 106° = 53π/90. The point of the angle is in quadrant II, where cosine is negative.

    ≈ — rounded to 4 decimal places. cos 106° can't be written with square roots: 106° is not a multiple of 3°.

    cos 106° = cos(180° − 74°) = −cos 74° ≈ −0.2756

    P(cos 106°, sin 106°) ≈ (−0.2756, 0.9613)

    xyOP

    P(cos 106°, sin 106°) ≈ (−0.2756, 0.9613)

    Highlighted: the projection on the x-axis — cosine, x ≈ −0.2756.

    All four functions of 106°
    FunctionExact valueDecimal
    sin 106°—≈ 0.9613
    cos 106°—≈ −0.2756
    tan 106°—≈ −3.4874
    cot 106°—≈ −0.2867

    Reference angle: cos 74° ≈ 0.2756

    See Also

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    https://calculat.io/en/number/trigonometry/cos--106Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--106">Cos 106 Degrees: Cosine of 106° on the Unit Circle</a>Copy
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    Cos 106 Degrees: Cosine of 106° on the Unit Circle. cos 106° ≈ −0.2756. The cosine is the x-coordinate of the point at 106° on the unit circle; 106° reduces to 74°.
    https://calculat.io/en/number/trigonometry/cos--106/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    100°≈ −0.1736
    101°≈ −0.1908
    105°−(√6 − √2)/4
    106°≈ −0.2756
    108°−(√5 − 1)/4
    110°≈ −0.3420
    120°−1/2
    Recalculate with different values ↑

    FAQ

    What is cos 106°?

    cos 106° ≈ −0.2756

    Why does cos 106° 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°. 106° is not, so no such exact form exists; the value is used as a decimal: cos 106° ≈ −0.2756.

    Why does a calculator show 0.6865 for cos 106?

    The calculator is in radian mode (RAD): it takes cos 106 as the cosine of 106 radians, cos 106 rad ≈ 0.6865. Switch it to degrees (DEG): cos 106° ≈ −0.2756. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also