The maximum value of `[sin (x+(pi)/(6))+cos (x+(pi)/(6))]` in the interval `[0, (pi)/(2)]` is attained at x=

Maximum value of sin (x + (pi)/(6)) + cos (x + (pi)/(6)) is

Select and write the correct answer from the given alternatives in each of the following:The maximum value of sin(x+pi/6)+cos(x+pi/6) in the interval (0,pi/6) is attained at=

The maximum value of sin(x+pi/6)+cos(x+pi/6) in the internal (0,pi/2) is attained at

The maximum value of the function f(x)=sin(x+(pi)/(6))+cos(x+(pi)/(6)) in the interval (0,(pi)/(2)) occurs at (pi)/(12) (b) (pi)/(6)(c)(pi)/(4)(d)(pi)/(3)

The maximum value of the function f(x) = sin (x+pi/6)+ cos (x+pi/6) in the interval (0, pi/2) occurs at

The maximum value of cosec x, x in [(pi)/(6), (pi)/(3)] is ………

The maximum value of sin x + cos x on [0,pi] is

The maximum value of sin(x+(pi)/(5))+cos(x+(pi)/(5)), where x in(0,(pi)/(2)), is attained at