A geometry problem by Bala vidyadharan

Geometry Level 3

\[ \large \dfrac { \sin\theta }{ \cos3\theta } +\dfrac { \sin3\theta }{ \cos9\theta } +\dfrac { \sin9\theta }{ \cos27\theta } \]

If \(x+\tan\theta =\tan27\theta\) then state the expression above in terms of \(x\).

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