Trigonometric Equations Question 314
Question: If in a triangle ABC the sides $ AB $ and AC are perpendicular, then the true equation is
Options:
A) $ \tan A+\tan B=0 $
B) $ \tan B+\tan C=0 $
C) $ \tan A+2\tan C=0 $
D) $ \tan B.\tan C=1 $
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Answer:
Correct Answer: D
Solution:
- $ \tan A=\tan (\pi -B-C) $ ; $ \infty =-\frac{\tan B+\tan C}{1-\tan B\tan C} $
$ \Rightarrow 1-\tan B\tan C=0 $
Þ $ \tan B\tan C=1 $ .
BETA
