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Show by an example that sinA + sinB ≠ sin(A + B)

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Show by an example that sinA + sinB ≠ sin(A + B)

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Let A = 60o and B = 30o, then

L.H.S. = sin A + sin B = sin 60o + sin 30o

R. H. S. = sin (A + B) = sin (60o + 30o) = sin 90o =1

L.H.S. ≠ R.H.S

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