SOLUTION: Solve algebraically for exact solutions in the interval [0,2pi) Sin(5x)+sin(10x)

Question 680196: Solve algebraically for exact solutions in the interval [0,2pi)
Sin(5x)+sin(10x)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve algebraically for exact solutions in the interval [0,2pi)
Sin(5x)+sin(10x)
Identity: sum to product formula: sin s+sin t=2 sin(s+t)/2*cos(s-t)/2
Sin(10x)+sin(5x)
=2sin[(10x+5x)/2]*cos[(10x-5x)/2]
=2sin7.5x*cos2.5x
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