JEE Trigonometry 1

Geometry Level 4

If tanθ,2tanθ+2,3tanθ+3\tan\theta, 2\tan\theta+2,3\tan\theta+3 are in GP, then the value of 7tanθ59tanθ+4tanθ1cos2θ1\dfrac{7\tan\theta-5}{9\tan\theta+4\tan\theta\sqrt{\frac{1}{\cos^2\theta}-1}} is X\mathfrak{X}. Calculate 100X\lfloor 100\mathfrak{X}\rfloor


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