यदि $A = \{x \in R : \frac{\pi}{4} \leq x \leq \frac{\pi}{3}\}$ और $f(x) = \sin x - x$ है,तो $f(A)$ का मान क्या होगा?

• A
  $\left[\frac{\sqrt{3}}{2} - \frac{\pi}{3}, \frac{1}{\sqrt{2}} - \frac{\pi}{4}\right]$
• B
  $\left[\frac{-1}{\sqrt{2}} - \frac{\pi}{4}, \frac{\sqrt{3}}{2} - \frac{\pi}{3}\right]$
• C
  $\left[-\frac{\pi}{3}, -\frac{\pi}{4}\right]$
• D
  $\left[\frac{\pi}{4}, \frac{\pi}{3}\right]$