Question

Sin(A+B)-Sin(A-B)

Please give proper answers to the question

Answer 1

Answer:

2 sinA cosB

Since sin(A+B) = sinA cosB + cosA sinB

and sin(A-B) = sinA cosB - cosA sinB

So if you add them together you just get 2 sinA cosB, because the back terms cancel each other out

...

OK

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Answer 2

Answer:

= SinACosB + CosASinB - [ SinACosB - CosASinB]

= 2 CosA SinB