關於sin cos rule

2012-08-22 6:20 am
Given Asin(Bx+C) = sqrt(3)cos(2x)-sin(2x),
What is the vale of A,B and C?

Need to show explanation.

Thanks guys!

回答 (1)

2012-08-22 8:12 am
✔ 最佳答案
√3 cos 2x - sin 2x = 2 (√3/2 cos 2x - 1/2 sin 2x )
= 2 (sin π/3 cos 2x - cos π/3 sin 2x)
= 2 sin (π/3 - 2x)
= 2 sin (- 2x + π/3)A = 2 , B = - 2 and C = π/3 .


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