MCQ
If ${\rm{cosec }}A + \cot A = \frac{{11}}{2},$ then $\tan A = $
- A$\frac{{21}}{{22}}$
- B$\frac{{15}}{{16}}$
- ✓$\frac{{44}}{{117}}$
- D$\frac{{117}}{{43}}$
✓
Answer
Correct option: C.
$\frac{{44}}{{117}}$
c
(c) ${\rm{cosec}}\,A + \cot A = \frac{{11}}{2} $
(c) ${\rm{cosec}}\,A + \cot A = \frac{{11}}{2} $
$\Rightarrow {\rm{cosec}}\,A - \cot A = \frac{2}{{11}}$
Therefore $2\cot\, A = \frac{{117}}{{22}} $
$\Rightarrow \tan A = \frac{{44}}{{117}}$.
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