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

Algebra ->  Trigonometry-basics -> SOLUTION: find the exact value of the expression sin(pie/6)cos(pie/3)+sin(pie/3)cos(pie/6)      Log On


   

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(12844) About Me  (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(35256) About Me  (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