Question 950351
Use the identity:
{{{ sin( x+y ) = sin(x)*cos(y) + cos(x)*sin(y) }}}
{{{ sin(x) = 3/4 }}}
{{{ cos(y) = 2/3 }}}
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Also, use the identities:
{{{ cos(x) = sqrt( 1 - sin(x)^2 ) }}}
{{{ sin(y) = sqrt( 1 - cos(y)^2 ) }}}
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{{{ cos(x) = sqrt( 1 - (3/4)^2 ) }}}
{{{ sin(y) = sqrt( 1 - (2/3)^2 ) }}}
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{{{ cos(x) = sqrt( 1 - 9/16 ) }}}
{{{ sin(y) = sqrt( 1 - 4/9 ) }}}
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{{{ cos(x) = sqrt( 7/16 ) }}}
{{{ sin(y) = sqrt( 5/9 ) }}}
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{{{ cos(x) = sqrt(7)/4 }}}
{{{ sin(y) = sqrt(5)/3 }}}
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{{{ sin( x+y ) = sin(x)*cos(y) + cos(x)*sin(y) }}}
{{{ sin( x+y ) = (3/4)*(2/3) + (sqrt(7)/4)*(sqrt(5)/3) }}}
{{{ sin( x+y ) = 1/2 + sqrt(35)/12 }}}
Hope I got it