SOLUTION: Can you help me, please? Thank you! Prove the identity sin(x+y)

SOLUTION: Can you help me, please? Thank you! Prove the identity sin(x+y) - sin(x-y) = 2cos(x)sin(y)

Question 359828: Can you help me, please? Thank you!
Prove the identity
sin(x+y) - sin(x-y) = 2cos(x)sin(y)

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
We're going to use the established identities

1)

2)

Start with the given equation.

Use the first identity (given above) to expand

Use the second identity (given above) to expand

Distribute.

Group like terms.

Combine like terms.

Simplify

So this verifies the identity.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
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