What is the value of \( x \) ?
\[
\sin (x+34)^{x}=\cos (2 x+20
\]
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Answer

\text{The equation has no analytic solutions for } x.

Steps

Step 1 ：\sin (x+34)^{x}=\cos (2 x+20)

Step 2 ：\sin (x+34)^{x}=\sin(90 - (2 x+20))

Step 3 ：(x+34)^{x}=90-(2x+20)

Step 4 ：\text{The equation has no analytic solutions for } x.