\( \lim _{x \rightarrow \frac{\pi}{2}}\left(\tan ^{2} x\left(\begin{array}{c}\left(2 \sin ^{2} x...

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\( \lim _{x \rightarrow \frac{\pi}{2}}\left(\tan ^{2} x\left(\begin{array}{c}\left(2 \sin ^{2} x+3 \sin x+4\right)^{\frac{1}{2}} \\ -\left(\sin ^{2} x+6 \sin x+2\right)^{\frac{1}{2}}\end{array}\right)\right) \) is equal to
(a) \( \frac{1}{12} \)
(b) \( -\frac{1}{18} \)
(c) \( -\frac{1}{12} \)
(d) \( -\frac{1}{6} \)
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