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    Tan 24 Degrees

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

    What is tan 24°?

    Answer

    tan 24° ≈
    0.4452

    Angle in radians: 24° = 2π/15. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. An exact form of tan 24° in square roots exists, but it is unwieldy — nested radicals.

    tan 24° = sin 24° / cos 24° ≈ 0.4452

    xyOP

    P(cos 24°, sin 24°) ≈ (0.9135, 0.4067)

    T(1, tan 24°) ≈ (1, 0.4452) — where line OP meets the line x = 1.

    All four functions of 24°
    FunctionExact valueDecimal
    sin 24°—≈ 0.4067
    cos 24°—≈ 0.9135
    tan 24°—≈ 0.4452
    cot 24°—≈ 2.2460

    See Also

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    https://calculat.io/en/number/trigonometry/tan--24Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--24">Tan 24 Degrees: Tangent of 24° on the Unit Circle</a>Copy
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    Tan 24 Degrees: Tangent of 24° on the Unit Circle. tan 24° ≈ 0.4452. The tangent is the ratio y/x of the point at 24° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--24/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    21°≈ 0.3839
    22°≈ 0.4040
    23°≈ 0.4245
    24°≈ 0.4452
    25°≈ 0.4663
    26°≈ 0.4877
    27°≈ 0.5095
    Recalculate with different values ↑

    FAQ

    What is tan 24°?

    tan 24° ≈ 0.4452

    Is there an exact value of tan 24°?

    Yes: 24° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: tan 24° ≈ 0.4452.

    Why does a calculator show −2.1349 for tan 24?

    The calculator is in radian mode (RAD): it takes tan 24 as the tangent of 24 radians, tan 24 rad ≈ −2.1349. Switch it to degrees (DEG): tan 24° ≈ 0.4452. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also