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    Tan 106 Degrees

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

    What is tan 106°?

    Answer

    tan 106° ≈
    −3.4874

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

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

    tan 106° = tan(180° − 74°) = −tan 74° ≈ −3.4874

    tan 106° = sin 106° / cos 106° ≈ −3.4874

    xyOP

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

    T(1, tan 106°) ≈ (1, −3.4874) — 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 106°
    FunctionExact valueDecimal
    sin 106°—≈ 0.9613
    cos 106°—≈ −0.2756
    tan 106°—≈ −3.4874
    cot 106°—≈ −0.2867

    Reference angle: tan 74° ≈ 3.4874

    See Also

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    https://calculat.io/en/number/trigonometry/tan--106Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--106">Tan 106 Degrees: Tangent of 106° on the Unit Circle</a>Copy
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    Tan 106 Degrees: Tangent of 106° on the Unit Circle. tan 106° ≈ −3.4874. The tangent is the ratio y/x of the point at 106° on the unit circle; 106° reduces to 74°.
    https://calculat.io/en/number/trigonometry/tan--106/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    100°≈ −5.6713
    101°≈ −5.1446
    105°−2 − √3
    106°≈ −3.4874
    108°−√(5 + 2√5)
    110°≈ −2.7475
    120°−√3
    Recalculate with different values ↑

    FAQ

    What is tan 106°?

    tan 106° ≈ −3.4874

    Why does tan 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: tan 106° ≈ −3.4874.

    Why does a calculator show −1.0592 for tan 106?

    The calculator is in radian mode (RAD): it takes tan 106 as the tangent of 106 radians, tan 106 rad ≈ −1.0592. Switch it to degrees (DEG): tan 106° ≈ −3.4874. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also