# SOLUTION: find the exact value of the expression sin(pie/6)cos(pie/3)+sin(pie/3)cos(pie/6)

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 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Question 173028: find the exact value of the expression sin(pie/6)cos(pie/3)+sin(pie/3)cos(pie/6)Found 2 solutions by checkley77, jim_thompson5910:Answer by checkley77(12569)   (Show Source): You can put this solution on YOUR website!sin(pie/6)cos(pie/3)+sin(pie/3)cos(pie/6) .00913+.01827=.0274 ans. Answer by jim_thompson5910(28476)   (Show Source): You can put this solution on YOUR website!``` sin(pi/6)cos(pi/3)+sin(pi/3)cos(pi/6) = sin(pi/6)cos(pi/3)+cos(pi/6)sin(pi/3) = sin(pi/6+pi/3) = sin(pi/6+2pi/6) = sin((3pi)/6) = sin(pi/2) = 1 ``` So sin(pi/6)cos(pi/3)+sin(pi/3)cos(pi/6) = 1