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    Tan 167 Degrees

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

    What is tan 167°?

    Answer

    tan 167° ≈
    −0.2309

    Angle in radians: 167° = 167π/180. The point of the angle is in quadrant II, where tangent is negative.

    ≈ — rounded to 4 decimal places. tan 167° can't be written with square roots: 167° is not a multiple of 3°.

    tan 167° = tan(180° − 13°) = −tan 13° ≈ −0.2309

    tan 167° = sin 167° / cos 167° ≈ −0.2309

    xyOP

    P(cos 167°, sin 167°) ≈ (−0.9744, 0.2250)

    T(1, tan 167°) ≈ (1, −0.2309) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

    All four functions of 167°
    FunctionExact valueDecimal
    sin 167°—≈ 0.2250
    cos 167°—≈ −0.9744
    tan 167°—≈ −0.2309
    cot 167°—≈ −4.3315

    Reference angle: tan 13° ≈ 0.2309

    See Also

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    https://calculat.io/en/number/trigonometry/tan--167Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--167">Tan 167 Degrees: Tangent of 167° on the Unit Circle</a>Copy
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    Tan 167 Degrees: Tangent of 167° on the Unit Circle. tan 167° ≈ −0.2309. The tangent is the ratio y/x of the point at 167° on the unit circle; 167° reduces to 13°.
    https://calculat.io/en/number/trigonometry/tan--167/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    162°−√(25 − 10√5)/5
    164°≈ −0.2867
    165°√3 − 2
    167°≈ −0.2309
    175°≈ −0.0875
    179°≈ −0.0175
    180°0
    Recalculate with different values ↑

    FAQ

    What is tan 167°?

    tan 167° ≈ −0.2309

    Why does tan 167° 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°. 167° is not, so no such exact form exists; the value is used as a decimal: tan 167° ≈ −0.2309.

    Why does a calculator show 0.5406 for tan 167?

    The calculator is in radian mode (RAD): it takes tan 167 as the tangent of 167 radians, tan 167 rad ≈ 0.5406. Switch it to degrees (DEG): tan 167° ≈ −0.2309. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also