Question 1029097
{{{sin(theta)=4/5}}} 
==> {{{sin(theta+pi/6) = sin(theta)*cos(pi/6)+cos(theta)*sin(pi/6)}}}


==> {{{sin(theta+pi/6) = (1/2)sin(theta)+(sqrt(3)/2)*cos(theta)}}}

==> {{{sin(theta+pi/6) = (1/2)(4/5)+(sqrt(3)/2)(3/5)}}}

==> {{{sin(theta+pi/6) = (4/10)+(3sqrt(3))/10 = (4+3sqrt(3))/10}}}