A M2 trigonometric question
2011-05-26 12:52 am
Express y= √3 sinx + cosx as y= rsin(x+Θ), where r and Θ are constants.
回答 (1)
2011-05-26 1:02 am
✔ 最佳答案
Express y=√3Sinx +Cosx as y=rSin(x+θ)，where r and θ are constants. Sol
y=√3Sinx+Cosx
(√3)^2+1^2=4=2^2
y=√3Sinx+Cosx
=2[(√3/2)Sinx +(1/2)Cosx]
=2[Cos(π/3)Sinx +Sin(π/3)Cosx]
=2Sin(x+π/3)
收錄日期: 2021-04-30 15:54:33
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