Problem

What is the value of \( x \) ?
\[
\sin (x+11)^{\circ}=\cos (2 x+22)^{\circ}
\]
Enter your answer in the box.
\[
x=(1)
\]

Answer

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Answer

x=\frac{57^\circ}{3}

Steps

Step 1 ：\sin{(x+11)^{\circ}}=\cos{(90^\circ-(x+11)^\circ)}

Step 2 ：\cos{(90^\circ-(x+11)^\circ)}=\cos{(2x+22)^\circ}

Step 3 ：90^\circ-(x+11)^\circ=2x+22^\circ

Step 4 ：x=\frac{57^\circ}{3}

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