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Prove that, sin(A + B) sin(A - B) = sin A sin B. |
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Answer» Answer: ANSWER Assuming ∠A=60 ∘ and ∠B=30 ∘
L.H.S=sin(A+B)=sin(60 ∘ +30 ∘ ) =sin(90 ∘ )=1 R.H.S=sinA+sinB=sin60 ∘ +sin30 ∘
= 2 3
+ 2 1
= 2 3
+1
Thus, L.H.S =R.H.S Thus,sin(A+B) =sinA+sinB |
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