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