Simple trignometry solution.

Geometry Level 4

Find the number of integer value of \(a \) in the set \(S =[-5.5,5.5] \) such that the equation \(\frac {a^2}{1 - \tan^2 x}=\frac {\sin^2 x + a^2 -2}{\cos 2x} \) have solutions for any real \(x\).

  • Set \(S\) has all real value between -5.5 to 5.5 included.
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