Trigonometric Equations Question 294

Question: In $ \Delta ABC $ , if $ 2s=a+b+c $ , then the value of $ \frac{s(s-a)}{bc}-\frac{(s-b)(s-c)}{bc}= $

Options:

A) $ \sin A $

B) $ \cos A $

C) $ \tan A $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ {{\cos }^{2}}\frac{A}{2}-{{\sin }^{2}}\frac{A}{2}=\cos \frac{2A}{2}=\cos A. $