1.

The maximum value of \(\sin \left( {{\rm{x}} + \frac{{\rm{\pi }}}{6}} \right) + \cos \left( {{\rm{x}} + \frac{{\rm{\pi }}}{6}} \right)\) in the interval \(\left( {0,\frac{{\rm{\pi }}}{2}} \right)\) is attained at

A. \(\frac{{\rm{\pi }}}{{12}}\)
B. \(\frac{{\rm{\pi }}}{6}\)
C. \(\frac{{\rm{\pi }}}{3}\)
D. \(\frac{{\rm{\pi }}}{2}\)
Answer» B. \(\frac{{\rm{\pi }}}{6}\)


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