SOLUTION: Show that the sum of the two sine function is again a sine function: 5sin(x-2) + 5sin(x+2)=?

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Question 203978: Show that the sum of the two sine function is again a sine function:
5sin(x-2) + 5sin(x+2)=?

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
5sin(x-2) +5sin(x-2)
.
5{sin(x-2) + sin(x-2)}
.
using sum and difference identities
.
5{(sinxcos2-cosxsin2) + ( sinxcos2 +cosxsin2)}
.
5{2sinxcos2}
.
10sinxcos2
.
(10cos2)sinx
.
-4.16 sinx
.
Therefore, this is a sin function