Problem
What is the value of \( x \) ? \[ \sin (x+11)^{\circ}=\cos (2 x+22)^{\circ} \] Enter your answer in the box \[ x=\mathbb{\pi} \]
Solution
Step 1 ：\sin (x+11)^{\circ}=\cos (90^\circ - (x+11)^\circ)
Step 2 ：90^\circ - (x+11)^\circ = 2x + 22^\circ
Step 3 ：x = \frac{-43}{3}^\circ
