1.

Does sin(A+B)=sin A + sin B

Answer»

Q. SIN (A+ B) = sin A + sin B

Solution : FALSE Because


When A = 60° and B = 30°. Then,

sin (A + B) = sin (60° + 30°) = sin 90° = 1

and, sin A + sin B = sin 60° + sin 30°

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

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

⇒ sin (A + B) ≠ sin A + sin B


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