Trigonometric Equations Question 219

Question: If $ \tan \frac{B-C}{2}=x\cot \frac{A}{2}, $ then $ x= $

[MP PET 1992, 2002]

Options:

A) $ \frac{c-a}{c+a} $

B) $ \frac{a-b}{a+b} $

C) $ \frac{b-c}{b+c} $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ \tan \frac{B-C}{2}=x\cot \frac{A}{2}\Rightarrow x=\frac{b-c}{b+c} $ .