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3.Trigonometrical Ratios, Functions and Identities
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यदि $\tan \,(A - B) = 1,\,\,\,\sec \,(A + B) = \frac{2}{{\sqrt 3 }},$ तब $B$ का न्यूनतम धनात्मक मान होगा
A
$\frac{{25}}{{24}}\pi $
B
$\frac{{19}}{{24}}\pi $
C
$\frac{{13}}{{24}}\pi $
D
$\frac{{11}}{{24}}\pi $
Solution
(b) $\tan (A – B) = 1 \Rightarrow A – B = \frac{\pi }{4}$…..(i)
एवं $\sec (A + B) = \frac{2}{{\sqrt 3 }} \Rightarrow A + B = \frac{{11\pi }}{6}$…..(ii)
(i) व (ii) से, $B = \frac{{19\pi }}{{24}}$
Standard 11
Mathematics
