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    Tan 110 Degrees

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

    What is tan 110°?

    Answer

    tan 110° ≈
    −2.7475

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

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

    tan 110° = tan(180° − 70°) = −tan 70° ≈ −2.7475

    tan 110° = sin 110° / cos 110° ≈ −2.7475

    xyOP

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

    T(1, tan 110°) ≈ (1, −2.7475) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed); T is beyond the drawing, the arrow points to it.

    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: tan 70° ≈ 2.7475

    See Also

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    https://calculat.io/en/number/trigonometry/tan--110Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--110">Tan 110 Degrees: Tangent of 110° on the Unit Circle</a>Copy
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    Tan 110 Degrees: Tangent of 110° on the Unit Circle. tan 110° ≈ −2.7475. The tangent is the ratio y/x of the point at 110° on the unit circle; 110° reduces to 70°.
    https://calculat.io/en/number/trigonometry/tan--110/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    105°−2 − √3
    106°≈ −3.4874
    108°−√(5 + 2√5)
    110°≈ −2.7475
    120°−√3
    125°≈ −1.4281
    126°−√(25 + 10√5)/5
    Recalculate with different values ↑

    FAQ

    What is tan 110°?

    tan 110° ≈ −2.7475

    Why does tan 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: tan 110° ≈ −2.7475.

    Why does a calculator show 0.0443 for tan 110?

    The calculator is in radian mode (RAD): it takes tan 110 as the tangent of 110 radians, tan 110 rad ≈ 0.0443. Switch it to degrees (DEG): tan 110° ≈ −2.7475. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also