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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