Complex Numbers And Quadratic Equations question 103
Question: If $ 0<amp\text{ (z)}<\pi \text{,} $ then amp $ (z) $ - amp $ (-z)= $
Options:
A) 0
B) $ 2amp(z) $
C) $ \pi $
D) $ -\pi $
Show Answer
Answer:
Correct Answer: C
Solution:
amp(z) $ -amp(-z)={{\tan }^{-1}}\frac{y}{x}-( {{\tan }^{-1}}\frac{y}{x}-\pi )=\pi $