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    Tan 22 Degrees

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

    What is tan 22°?

    Answer

    tan 22° ≈
    0.4040

    Angle in radians: 22° = 11π/90. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. tan 22° can't be written with square roots: 22° is not a multiple of 3°.

    tan 22° = sin 22° / cos 22° ≈ 0.4040

    xyOP

    P(cos 22°, sin 22°) ≈ (0.9272, 0.3746)

    T(1, tan 22°) ≈ (1, 0.4040) — where line OP meets the line x = 1.

    All four functions of 22°
    FunctionExact valueDecimal
    sin 22°—≈ 0.3746
    cos 22°—≈ 0.9272
    tan 22°—≈ 0.4040
    cot 22°—≈ 2.4751

    See Also

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    https://calculat.io/en/number/trigonometry/tan--22Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--22">Tan 22 Degrees: Tangent of 22° on the Unit Circle</a>Copy
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    Tan 22 Degrees: Tangent of 22° on the Unit Circle. tan 22° ≈ 0.4040. The tangent is the ratio y/x of the point at 22° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--22/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    19°≈ 0.3443
    20°≈ 0.3640
    21°≈ 0.3839
    22°≈ 0.4040
    23°≈ 0.4245
    24°≈ 0.4452
    25°≈ 0.4663
    Recalculate with different values ↑

    FAQ

    What is tan 22°?

    tan 22° ≈ 0.4040

    Why does tan 22° 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°. 22° is not, so no such exact form exists; the value is used as a decimal: tan 22° ≈ 0.4040.

    Why does a calculator show 0.0089 for tan 22?

    The calculator is in radian mode (RAD): it takes tan 22 as the tangent of 22 radians, tan 22 rad ≈ 0.0089. Switch it to degrees (DEG): tan 22° ≈ 0.4040. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also