If cosec A + A = 11 2 , then A = - Vidyadip

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} $

$\Rightarrow {\rm{cosec}}\,A - \cot A = \frac{2}{{11}}$

Therefore $2\cot\, A = \frac{{117}}{{22}} $

$\Rightarrow \tan A = \frac{{44}}{{117}}$.

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