letry Checkpoint
What is the value of \( x \) ?
\[
\sin (x+11)=\cos (2 x+22)
\]
Enter your answer in the box.
\[
x=
\]

Answer

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Answer

2x + 22 = \frac{\pi}{2} - (x + 11) \pm n\pi \rightarrow x = -16.5+\frac{\pi}{2}+n\pi

Steps

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