Question 4 (i)
State whether the following are true or false. Justify your answer.
(i) sin (A + B) = sin A + sin B.
(i) False.
Let A=30∘ and B=60∘, then
L.H.S.:
sin(A+B)=sin(30∘+60∘)=sin90∘=1
R.H.S.:
sinA+sinB=sin30∘+sin60∘
=12+√32
L.H.S. ≠ R.H.S. Therefore, the given statement is false.