sin (A + B) = sin A + sin B.
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Using the addition formula sin(a+b)=cos(b)sin(a)+cos(a)sin(b) you can see the only time this is equal to sin(a)+sin(b) is when cos(b)=cos(a)=1
The cos is equal to one when the angle is 2πn where n=0,1,2,....
So as long as a or b is = 2πn where n=0,1,2,....
the sin(a+b)= sin(a)+sin(b) which is 0=0
Step-by-step explanation:
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