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    Tan 66 Degrees

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

    What is tan 66°?

    Answer

    tan 66° ≈
    2.2460

    Angle in radians: 66° = 11π/30. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. An exact form of tan 66° in square roots exists, but it is unwieldy — nested radicals.

    tan 66° = sin 66° / cos 66° ≈ 2.2460

    xyOP

    P(cos 66°, sin 66°) ≈ (0.4067, 0.9135)

    T(1, tan 66°) ≈ (1, 2.2460) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

    All four functions of 66°
    FunctionExact valueDecimal
    sin 66°—≈ 0.9135
    cos 66°—≈ 0.4067
    tan 66°—≈ 2.2460
    cot 66°—≈ 0.4452

    See Also

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    https://calculat.io/en/number/trigonometry/tan--66Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--66">Tan 66 Degrees: Tangent of 66° on the Unit Circle</a>Copy
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    Tan 66 Degrees: Tangent of 66° on the Unit Circle. tan 66° ≈ 2.2460. The tangent is the ratio y/x of the point at 66° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--66/generated.jpgCopy

    Tangent of nearby angles

    Angletan
    63°≈ 1.9626
    64°≈ 2.0503
    65°≈ 2.1445
    66°≈ 2.2460
    67°≈ 2.3559
    68°≈ 2.4751
    69°≈ 2.6051
    Recalculate with different values ↑

    FAQ

    What is tan 66°?

    tan 66° ≈ 2.2460

    Is there an exact value of tan 66°?

    Yes: 66° 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 66° ≈ 2.2460.

    Why does a calculator show 0.0266 for tan 66?

    The calculator is in radian mode (RAD): it takes tan 66 as the tangent of 66 radians, tan 66 rad ≈ 0.0266. Switch it to degrees (DEG): tan 66° ≈ 2.2460. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

    See Also