Step 1 :\sin(x + 11) = \cos\left(\frac{\pi}{2} - (x + 11)\right)
Step 2 :2x + 22 = \pm n\pi \pm \frac{\pi}{2} - (x + 11)
Step 3 :2x + 22 = \frac{\pi}{2} - (x + 11) \pm n\pi \rightarrow x = -16.5+\frac{\pi}{2}+n\pi