Question 935393
The maximum has to occur when the
value of the sin function = 1
That is because for all other values of
the sin function, you get a negative
value ( as much as -1 ), or you get
some positive value less than +1
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So, I can say that if I replace 
{{{ sin( x - pi/6 ) }}} with
{{{ sin( y ) }}}, then {{{ y = pi/2 }}} to
make the sin a maximum
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Sop, I can say:
{{{ pi/2 = x - pi/6 }}}
{{{ x = pi/2 + pi/6 }}}
{{{ x = ( 3pi )/6 + pi/6 }}}
{{{ x = ( 4pi )/6 }}}
{{{ x = (2pi)/3 }}}
The value of the whole expression is:
{{{ 3*1 + 5 = 8 }}}
Hope this is clear