Limits Continuity And Differentiability

Let \(f:\left( { - {\pi \over 4},{\pi \over 4}} \right) \to R\) be defined as \(f(x) = \left\{ {\matrix{ {{{(1 + |\sin x|)}^{{{3a} \over {|\sin x|}}}}} & , & { - {\pi \over 4} < x < 0} \cr b & , & {x = 0} \cr {{e^{\cot 4x/\cot 2x}}} & , & {0 < x < {\pi \over 4}} \cr } } \right.\)

If f is continuous at x = 0, then the value of 6a + b² is equal to :