A) \[3\]
B) \[\sqrt{3}\]
C) \[1\]
D) \[2\]
Correct Answer: A
Solution :
\[\frac{{{\sin }^{2}}A+\sin A+1}{\sin A}\] \[=\sin A+\frac{1}{\sin A}+1\] \[={{\left( \sqrt{\sin A}-\frac{1}{\sqrt{\sin A}} \right)}^{2}}+3\] \[\ge 3\]
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