A) \[\min \,\,f\,\,(x)=-\frac{1}{3\sqrt{3}}\,\,for\,\,x\,\,\in [-\pi ,\pi )\]
B) \[\min \,\,f(x)>-\frac{9}{7}\,\,or\,\,-\frac{7}{9}\,\,for\,\,x\,\,\in [-\pi ,\pi ]\]
C) \[\min \,\,f\,\,(x)>-\frac{1}{9}\,\,for\,\,x\,\,\in [-\pi ,\pi ]\]
D) \[\min \,\,f\,\,(x)>-\frac{2}{9}\,\,for\,\,x\,\,\in [-\pi ,\pi ]\]
Correct Answer: B
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