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