136k views
4 votes
Sin(a+b) + sin (a-b) = 2 sin a cos b

verify the identitiy

Sin(a+b) + sin (a-b) = 2 sin a cos b verify the identitiy-example-1

1 Answer

6 votes
Write out the sum formula for sin
sin(x + y) = sinxcos + sinycosx

Then expand sin(a + b) + sin(a - b)
sinacosb + sinbcosa + sinacosb - sinbcosa
The 2nd and 4th terms cancel and you get
2sinacosb
User Bwroga
by
7.5k points