1.

The range of \[f(x)=si{{n}^{-1}}(\sqrt{{{x}^{2}}+x+1})\] is

A. \[\left( 0,\frac{\pi }{2} \right]\]     
B. \[\left( 0,\frac{\pi }{3} \right]\]
C. \[\left[ \frac{\pi }{3},\frac{\pi }{2} \right]\]           
D. \[\left[ \frac{\pi }{6},\frac{\pi }{3} \right]\]
Answer» D. \[\left[ \frac{\pi }{6},\frac{\pi }{3} \right]\]


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