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