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If \( f(x)=\left\{\begin{array}{cc}\frac{1-\sin ^{2} x}{3 \cos ^{2} x}, & x\frac{\pi}{2} \\ a, & x=\frac{\pi}{2} \\ \frac{b(1-\sin x)}{(\pi-2 x)^{2}}, & x\frac{\pi}{2}\end{array}\right. \). Then, \( f(x) \) is continuous at \( x=\frac{\pi}{2} \), if
(a) \( a=\frac{1}{3}, b=2 \)
(b) \( a=\frac{1}{3}, b=\frac{8}{3} \)
(c) \( a=\frac{2}{3}, b=\frac{8}{3} \)
(d) none of these
\( \mathrm{P} \)
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