Find all values of \(\theta\) in the interval \(\left (-\frac {\pi}{2} , \frac {\pi}{2} \right)\) satisfying the equation \[(1-\tan \theta)(1-tan \theta)\sec ^{2} \theta + 2^{\tan^{2} \theta} = 0\]

Enter the product of the sum of the measure(s) of \(\theta\) in degrees and 2.

This problem is part of the set Trigonometry.

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