Question

Solve it completely.
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Answer 1

${ asin(( \frac{ \sin(x) + \cos(x) }{ \sqrt{2} } )) } \\ = asin( \sin(x) \cos( \frac{\pi}{4} ) + \sin( \frac{\pi}{4} ) \cos(x) ) \\ = asin( \sin(x + \frac{\pi}{4} ) ) \\ = x + \frac{\pi}{4}$