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    Cos 110 Degrees

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

    What is cos 110°?

    Answer

    cos 110° ≈
    −0.3420

    Angle in radians: 110° = 11π/18. The point of the angle is in quadrant II, where cosine is negative.

    ≈ — rounded to 4 decimal places. cos 110° can't be written with square roots: 110° is not a multiple of 3°.

    cos 110° = cos(180° − 70°) = −cos 70° ≈ −0.3420

    P(cos 110°, sin 110°) ≈ (−0.3420, 0.9397)

    xyOP

    P(cos 110°, sin 110°) ≈ (−0.3420, 0.9397)

    Highlighted: the projection on the x-axis — cosine, x ≈ −0.3420.

    All four functions of 110°
    FunctionExact valueDecimal
    sin 110°—≈ 0.9397
    cos 110°—≈ −0.3420
    tan 110°—≈ −2.7475
    cot 110°—≈ −0.3640

    Reference angle: cos 70° ≈ 0.3420

    See Also

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    https://calculat.io/en/number/trigonometry/cos--110Copy
    <a href="https://calculat.io/en/number/trigonometry/cos--110">Cos 110 Degrees: Cosine of 110° on the Unit Circle</a>Copy
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    Cos 110 Degrees: Cosine of 110° on the Unit Circle. cos 110° ≈ −0.3420. The cosine is the x-coordinate of the point at 110° on the unit circle; 110° reduces to 70°.
    https://calculat.io/en/number/trigonometry/cos--110/generated.jpgCopy

    Cosine of nearby angles

    Anglecos
    105°−(√6 − √2)/4
    106°≈ −0.2756
    108°−(√5 − 1)/4
    110°≈ −0.3420
    120°−1/2
    125°≈ −0.5736
    126°−√(10 − 2√5)/4
    Recalculate with different values ↑

    FAQ

    What is cos 110°?

    cos 110° ≈ −0.3420

    Why does cos 110° 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°. 110° is not, so no such exact form exists; the value is used as a decimal: cos 110° ≈ −0.3420.

    Why does a calculator show −0.9990 for cos 110?

    The calculator is in radian mode (RAD): it takes cos 110 as the cosine of 110 radians, cos 110 rad ≈ −0.9990. Switch it to degrees (DEG): cos 110° ≈ −0.3420. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also