A) \[a>0\]
B) \[a<\frac{1}{32}\]
C) \[a<3\]
D) None of these
Correct Answer: B
Solution :
[b] \[{{(si{{n}^{-1}}x)}^{3}}+{{(co{{s}^{-1}}x)}^{3}}\] \[=\frac{\pi }{2}\left[ {{\left( \frac{\pi }{2} \right)}^{2}}-3{{\sin }^{-1}}x{{\cos }^{-1}}x \right]\] \[=\frac{3\pi }{2}\left[ {{(si{{n}^{-1}}x-\frac{\pi }{4})}^{2}}+\frac{{{\pi }^{2}}}{48} \right]\]
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