Find `theta` for which the expression `sin(theta+pi/6)+cos(theta+pi/6)` attains maximum value

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At what point does sin (x + PI/6) + cos (x + PI/6) attain maximum value in the interval (0,PI/2)? At what point does sin (x + PI/6) + cos (x + PI/6) attain maximum value in the interval (0,PI/2)?
For theta in(0,pi/2) , the maximum value of sin(theta+pi/6)+cos(theta+pi/6) is attained at theta... For theta in(0,pi/2) , the maximum value of sin(theta+pi/6)+cos(theta+pi/6) is attained at theta...
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The maximum value of `sin(theta+pi/6)+cos(theta+pi/6)` is attained at `theta in (0,pi/2)` The maximum value of `sin(theta+pi/6)+cos(theta+pi/6)` is attained at `theta in (0,pi/2)`
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