SOLUTION: find a pair of acute angles that satisfy the equation sin(3x+9)=cos(x+5)

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Question 1024162: find a pair of acute angles that satisfy the equation sin(3x+9)=cos(x+5)
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Since sin x = cos (90-x), we have
3x + 9 = 90 - (x+5)
3x + 9 = 85 - x
4x = 76
x = 19
so that
sin 66 = cos 24