If tan ,(A - B) = 1,,,,sec ,(A + B) = frac{2} | vedclass

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Question

(b) $	an (A - B) = 1 \Rightarrow A - B = \frac{\pi }{4}$&hellip;..(i)

and $\sec (A + B) = \frac{2}{{\sqrt 3 }} \Rightarrow A + B = \frac{{11\pi }}

Vedclass · Accepted Answer

$\frac{{19}}{{24}}\pi $

Vedclass · Answer

(b) $	an (A - B) = 1 \Rightarrow A - B = \frac{\pi }{4}$&hellip;..(i)

and $\sec (A + B) = \frac{2}{{\sqrt 3 }} \Rightarrow A + B = \frac{{11\pi }}{6}$&hellip;..(ii)

from (i) and (ii),

$ \Rightarrow B = \frac{{19\pi }}{{24}}$.

If $\tan \,(A - B) = 1,\,\,\,\sec \,(A + B) = \frac{2}{{\sqrt 3 }},$ then the smallest positive value of $B$ is

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