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

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asked Feb 3, 2018 136k views

1 Answer

Bwroga · Answer 1 · 2018-02-07T22:30:14+0000

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

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

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