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    Tan 164 Degrees

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

    What is tan 164°?

    Answer

    tan 164° ≈
    −0.2867

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

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

    tan 164° = tan(180° − 16°) = −tan 16° ≈ −0.2867

    tan 164° = sin 164° / cos 164° ≈ −0.2867

    xyOP

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

    T(1, tan 164°) ≈ (1, −0.2867) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

    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: tan 16° ≈ 0.2867

    See Also

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    https://calculat.io/en/number/trigonometry/tan--164Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--164">Tan 164 Degrees: Tangent of 164° on the Unit Circle</a>Copy
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    Tan 164 Degrees: Tangent of 164° on the Unit Circle. tan 164° ≈ −0.2867. The tangent is the ratio y/x of the point at 164° on the unit circle; 164° reduces to 16°.
    https://calculat.io/en/number/trigonometry/tan--164/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    159°≈ −0.3839
    160°≈ −0.3640
    162°−√(25 − 10√5)/5
    164°≈ −0.2867
    165°√3 − 2
    167°≈ −0.2309
    175°≈ −0.0875
    Recalculate with different values ↑

    FAQ

    What is tan 164°?

    tan 164° ≈ −0.2867

    Why does tan 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: tan 164° ≈ −0.2867.

    Why does a calculator show 0.7402 for tan 164?

    The calculator is in radian mode (RAD): it takes tan 164 as the tangent of 164 radians, tan 164 rad ≈ 0.7402. Switch it to degrees (DEG): tan 164° ≈ −0.2867. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also