Trigonometric Equations Question 236
Question: In $ \Delta ABC $ , $ \frac{\cos A}{a}+\frac{\cos B}{b}+\frac{\cos C}{c}= $
Options:
A) $ \frac{a^{2}+b^{2}+c^{2}}{abc} $
B) $ \frac{a^{2}+b^{2}+c^{2}}{2abc} $
C) $ \frac{2(a^{2}+b^{2}+c^{2})}{abc} $
D) $ a^{2}+b^{2}+c^{2} $
Show Answer
Answer:
Correct Answer: B
Solution:
- $ \frac{\cos A}{a}+\frac{\cos B}{b}+\frac{\cos C}{c} $ $ =\frac{b^{2}+c^{2}-a^{2}+a^{2}+c^{2}-b^{2}+a^{2}+b^{2}-c^{2}}{2abc} $ = $ \frac{a^{2}+b^{2}+c^{2}}{2abc} $ .
BETA
