If \( \mathrm{a}=\sin \left(\cot ^{-1} x\right) \) and \( \mathrm{b}=\cot \left(\sin ^{-1} x\rig...
If \( \mathrm{a}=\sin \left(\cot ^{-1} x\right) \) and \( \mathrm{b}=\cot \left(\sin ^{-1} x\right) \) where \( x0 \) then \( \frac{1}{x^{2}}-x^{2}= \) ?
(a) \( \frac{b^{2}}{a^{2}} \)
(b) \( \frac{a^{2}}{b^{2}} \)
(c) \( \frac{\left(a^{2}+1\right)}{\left(b^{2}-1\right)} \)
(d) None of these
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