A) \[\frac{21}{22}\]
B) \[\frac{15}{16}\]
C) \[\frac{44}{117}\]
D) \[\frac{117}{43}\]
Correct Answer: C
Solution :
\[\text{cosec}\,A+\cot A=\frac{11}{2}\Rightarrow \text{cosec}\,A-\cot A=\frac{2}{11}\] Therefore\[2\cot A=\frac{117}{22}\Rightarrow \tan A=\frac{44}{117}\].
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