Search any question & find its solution
Question:
Answered & Verified by Expert
If $\operatorname{cosec} A+\cot A=\frac{11}{2}$, then $\tan A=$
Options:
Solution:
1120 Upvotes
Verified Answer
The correct answer is:
$\frac{44}{117}$
$\begin{aligned}
& \operatorname{cosec} A+\cot A=\frac{11}{2} \Rightarrow \operatorname{cosec} A-\cot A=\frac{2}{11} \\
& \text { Therefore } 2 \cot A=\frac{117}{22} \Rightarrow \tan A=\frac{44}{117}
\end{aligned}$
& \operatorname{cosec} A+\cot A=\frac{11}{2} \Rightarrow \operatorname{cosec} A-\cot A=\frac{2}{11} \\
& \text { Therefore } 2 \cot A=\frac{117}{22} \Rightarrow \tan A=\frac{44}{117}
\end{aligned}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.