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ktg7 ktg7
  • 06-03-2017
  • Mathematics
Answered

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 class=

Verified Answer :

Jayland
Jayland Jayland
  • 08-03-2017

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

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