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    Tan 48 Degrees

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

    What is tan 48°?

    Answer

    tan 48° ≈
    1.1106

    Angle in radians: 48° = 4π/15. The point of the angle is in quadrant I, where tangent is positive.

    ≈ — rounded to 4 decimal places. An exact form of tan 48° in square roots exists, but it is unwieldy — nested radicals.

    tan 48° = sin 48° / cos 48° ≈ 1.1106

    xyOP

    P(cos 48°, sin 48°) ≈ (0.6691, 0.7431)

    T(1, tan 48°) ≈ (1, 1.1106) — where line OP meets the line x = 1.

    All four functions of 48°
    FunctionExact valueDecimal
    sin 48°—≈ 0.7431
    cos 48°—≈ 0.6691
    tan 48°—≈ 1.1106
    cot 48°—≈ 0.9004

    See Also

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    https://calculat.io/en/number/trigonometry/tan--48Copy
    <a href="https://calculat.io/en/number/trigonometry/tan--48">Tan 48 Degrees: Tangent of 48° on the Unit Circle</a>Copy
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    Tan 48 Degrees: Tangent of 48° on the Unit Circle. tan 48° ≈ 1.1106. The tangent is the ratio y/x of the point at 48° on the unit circle.
    https://calculat.io/en/number/trigonometry/tan--48/generated.jpgCopy

    FAQ

    What is tan 48°?

    tan 48° ≈ 1.1106

    Is there an exact value of tan 48°?

    Yes: 48° 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 48° ≈ 1.1106.

    Why does a calculator show 1.2001 for tan 48?

    The calculator is in radian mode (RAD): it takes tan 48 as the tangent of 48 radians, tan 48 rad ≈ 1.2001. Switch it to degrees (DEG): tan 48° ≈ 1.1106. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.