Trigonometric Identities Question 125
Question: If $ \text{cosec }A+\cot A=\frac{11}{2}, $ then $ \tan A= $
[Roorkee 1995]
Options:
A) $ \frac{21}{22} $
B) $ \frac{15}{16} $
C) $ \frac{44}{117} $
D) $ \frac{117}{43} $
Show Answer
Answer:
Correct Answer: C
Solution:
$ cosec,A+\cot A=\frac{11}{2}\Rightarrow cosec,A-\cot A=\frac{2}{11} $ Therefore $ 2\cot A=\frac{117}{22}\Rightarrow \tan A=\frac{44}{117} $ .
BETA
