Krishna
0

No it is not correct

Step 1: Take an example and prove this as wrong

EXAMPLE: Let A=30 and B=60

Step 2: Take L.H.S and simplify

Now L.H.S = \sin (A + B)

= \sin (30\degree + 60\degree)

= \sin 90\degree =1

Step 3: Take R.H.S and Simplify

Now R.H.S = \sin A + \sin B

= \sin 30\degree + \sin 60\degree

= \frac{1}{2} + \frac{\sqrt{3}}{2}

Therefore, LHS doesn't equal to RHS

Hence \sin (A + B) \text{ doesn't equal to } \sin A + \sin B