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3.Trigonometrical Ratios, Functions and Identities
easy
જો ${\rm{cosec }}A + \cot A = \frac{{11}}{2},$ તો $\tan A = $
A
$\frac{{21}}{{22}}$
B
$\frac{{15}}{{16}}$
C
$\frac{{44}}{{117}}$
D
$\frac{{117}}{{43}}$
Solution
(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}} $
$\Rightarrow \tan A = \frac{{44}}{{117}}$.
Standard 11
Mathematics
