Trigonometry – II — Maths STD 11 Science — Question
Maharashtra BoardEnglish MediumSTD 11 ScienceMathsTrigonometry – II2 Marks
MCQ
If $A+B=\frac{\pi}{4}$, then $(1+\tan A)(1+\tan B)=$
A
1
✓
2
C
$\infty$
D
-2
✓
Answer
Correct option: B.
2
(B) $A + B =\frac{\pi}{4}$ $\Rightarrow \tan ( A + B )=\tan \frac{\pi}{4}$ $\Rightarrow \frac{\tan A+\tan B}{1-\tan A \tan B}-1$ $\Rightarrow \tan A +\tan B +\tan A \tan B =1$ $\Rightarrow(1+\tan A)(1+\tan B)=2$
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