12.5.15 Olympic Algebra

Condition: Find all values of the variable \ (x \), with each of which both expressions \ [\ begin {array} {l} f (x) = \ tan ^{2} \ left (\ frac {\ pi \ cos x} {2 \ sqrt {2}} \ right)+\ cot ^{2} \ left (\ frac {\ pi \ cos x} {2 \ sqrt {2} \ right) \\ \ text {and} g (x) = \ frac {\ sqrt {15-2 x-x^{2}+2 x+4} {2+x} \ end {array} \] are determined, and the value of the smaller expressions does not exceed two (if two numbers are equal, then any of them is considered less).