Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    Tan 160 Degrees

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

    What is tan 160°?

    Answer

    tan 160° ≈
    −0.3640

    Angle in radians: 160° = 8π/9. The point of the angle is in quadrant II, where tangent is negative.

    ≈ — rounded to 4 decimal places. tan 160° can't be written with square roots: 160° is not a multiple of 3°.

    tan 160° = tan(180° − 20°) = −tan 20° ≈ −0.3640

    tan 160° = sin 160° / cos 160° ≈ −0.3640

    xyOP

    P(cos 160°, sin 160°) ≈ (−0.9397, 0.3420)

    T(1, tan 160°) ≈ (1, −0.3640) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

    All four functions of 160°
    FunctionExact valueDecimal
    sin 160°—≈ 0.3420
    cos 160°—≈ −0.9397
    tan 160°—≈ −0.3640
    cot 160°—≈ −2.7475

    Reference angle: tan 20° ≈ 0.3640

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/trigonometry/tan--160Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--160">Tan 160 Degrees: Tangent of 160° on the Unit Circle</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Tan 160 Degrees: Tangent of 160° on the Unit Circle. tan 160° ≈ −0.3640. The tangent is the ratio y/x of the point at 160° on the unit circle; 160° reduces to 20°.
    https://calculat.io/en/number/trigonometry/tan--160/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    145°≈ −0.7002
    150°−√3/3
    159°≈ −0.3839
    160°≈ −0.3640
    162°−√(25 − 10√5)/5
    164°≈ −0.2867
    165°√3 − 2
    Recalculate with different values ↑

    FAQ

    What is tan 160°?

    tan 160° ≈ −0.3640

    Why does tan 160° 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°. 160° is not, so no such exact form exists; the value is used as a decimal: tan 160° ≈ −0.3640.

    Why does a calculator show −0.2249 for tan 160?

    The calculator is in radian mode (RAD): it takes tan 160 as the tangent of 160 radians, tan 160 rad ≈ −0.2249. Switch it to degrees (DEG): tan 160° ≈ −0.3640. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also