Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    Tan 20 Degrees

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

    What is tan 20°?

    Answer

    tan 20° ≈
    0.3640

    Angle in radians: 20° = π/9. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 20° can't be written with square roots: 20° is not a multiple of 3°.

    tan 20° = sin 20° / cos 20° ≈ 0.3640

    xyOP

    P(cos 20°, sin 20°) ≈ (0.9397, 0.3420)

    T(1, tan 20°) ≈ (1, 0.3640) — where line OP meets the line x = 1.

    All four functions of 20°
    FunctionExact valueDecimal
    sin 20°—≈ 0.3420
    cos 20°—≈ 0.9397
    tan 20°—≈ 0.3640
    cot 20°—≈ 2.7475

    See Also

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

    Tangent of nearby angles

    Angletan
    17°≈ 0.3057
    18°√(25 − 10√5)/5
    19°≈ 0.3443
    20°≈ 0.3640
    21°≈ 0.3839
    22°≈ 0.4040
    23°≈ 0.4245
    Recalculate with different values ↑

    FAQ

    What is tan 20°?

    tan 20° ≈ 0.3640

    Why does tan 20° 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°. 20° is not, so no such exact form exists; the value is used as a decimal: tan 20° ≈ 0.3640.

    Why does a calculator show 2.2372 for tan 20?

    The calculator is in radian mode (RAD): it takes tan 20 as the tangent of 20 radians, tan 20 rad ≈ 2.2372. Switch it to degrees (DEG): tan 20° ≈ 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