SOLUTION: Write {{{sin(7x)cos(5x)}}} as a sum
Write {{{cos(7x)-sin(5x) }}} as a product
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Question 138826: Write as a sum
Write as a product
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
1)
\cos\left(5\theta\right))
Start with the given expression
+\sin\left(7\theta-5\theta\right)\right) )
Use the Product-to-Sum formula
+\sin\left(2\theta\right)\right) )
Add/Subtract
+\frac{1}{2}\sin\left(2\theta\right) )
Distribute
So \cos\left(5\theta\right)=\frac{1}{2}\sin\left(12\theta\right)+\frac{1}{2}\sin\left(2\theta\right) )
2)
Are you sure that it's ? There are no corresponding sum-to-product identities for mixed the trig functions sine and cosine.
Double check your assignment.
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