A) \[{{30}^{o}}\]
B) \[{{45}^{o}}\]
C) \[{{60}^{o}}\]
D) \[{{75}^{o}}\]
Correct Answer: B
Solution :
\[(1+\tan \theta )\,\,(1+\tan \varphi )=2\Rightarrow \frac{\tan \theta +\tan \varphi }{1-\tan \theta \tan \varphi }=1\] \[\Rightarrow \] \[\tan (\theta +\varphi )=1\] \[\Rightarrow \] \[\theta +\varphi =\frac{\pi }{4}\] = 45o.You need to login to perform this action.
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