Step 1 :\( \sin \left(-\frac{4 \pi}{3}\right) = \sin \left(\frac{2 \pi}{3}\right) \)
Step 2 :\( \sin \left(\frac{2 \pi}{3}\right) = \frac{\sqrt{3}}{2} \)
Step 3 :\( \cos \left(-\frac{7 \pi}{4}\right) = \cos \left(\frac{\pi}{4}\right) \)
Step 4 :\( \cos \left(\frac{\pi}{4}\right) = \frac{1}{\sqrt{2}} \)