中四a maths問題

2008-05-12 8:33 pm
prove
sinA+sinB+sin(A+B)=4cosA/2cosB/2sin((A+B)/2)

回答 (1)

2008-05-12 9:56 pm
✔ 最佳答案
RHS=4cos(A/2)cos(B/2)sin[(A+B)/2]

=2cos(A/2)cos(B/2) X 2sin[(A+B)/2]
={cos[(A+B)/2]+cos[(A+B)/2]} X 2sin[(A+B/2)]
=2sin[(A+B)/2]cos[(A+B)/2]+2sin[(A+B)/2]cos[(A-B)/2]
=sin(A+B)+sin0+sinA+sinB
=sinA+sinB+sin(A+B)
=LHS

希望幫到你啦 其實PROVE TRIGO 最緊要係背熟D公式 雖然話會考GIVEN 但係你無理由係咁睇架嘛

2008-05-12 13:57:46 補充:
希望我唔理解錯RHS 啦
因為你D括號唔係好夠
我都驚理解錯


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