State whether the following are true or false. Justify your answer.sin (A + B) = sin A + sin B.

Dear Student

The solution isFalse.

Justification:
Let us take an example of A = 30° and B = 60°, then
Substitute the values in the sin (A + B) formula,
we get sin (A + B) = sin (30° + 60°)
= sin 90°
= 1
and,
sin A + sin B = sin 30° + sin 60°

= 1/2+ √3/2
= 1+√3/2
Since the values obtained are not equal, the solution is false.

Thanks