Trigonometric Equations Question 49

Question: In $ \Delta ABC,\ a(b\cos C-c\cos B)= $

[EAMCET 1981]

Options:

A) $ a^{2}-b^{2} $

B) $ b^{2}-c^{2} $

C) $ c^{2}-a^{2} $

D) $ a^{2}+b^{2}+c^{2} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ a(b\cos C-c\cos B)=ab\cos C-ac\cos B $ = $ \frac{a^{2}+b^{2}-c^{2}}{2}-\frac{a^{2}+c^{2}-b^{2}}{2}=b^{2}-c^{2} $ .