The graph of y=Asinx + Bcosx passes through the points (0,1) and (90,開方3).
(a) Find the values of A and B.
(b) What are the values of y when x=30 and x=300?
(c) When y=0, find the values of x for 0細過等於x細過等於360.
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2009-06-14 9:30 pm
回答 (2)
2009-06-14 9:46 pm
✔ 最佳答案
As follows:圖片參考：http://i707.photobucket.com/albums/ww74/stevieg90/06-15.gif
圖片參考：http://i707.photobucket.com/albums/ww74/stevieg90/07-11.gif
2009-06-14 9:42 pm
The graph of y=Asinx + Bcosx passes through the points (0,1) and (90,√3).
(a) we have 1=B, √3=A
(b) y=,√3sinx+cosx
when x=30, y=√3sin30+cos30=√3/2+√3/2=√3
when x=300, y=√3sin300+cos300=√3(-sin60)+√3cos60=-3/2+√3/2=0
(c) when y=0, √3sinx+cosx=0
√3sinx=-cosx
tanx=-1/√3
x=150 or x=330
(a) we have 1=B, √3=A
(b) y=,√3sinx+cosx
when x=30, y=√3sin30+cos30=√3/2+√3/2=√3
when x=300, y=√3sin300+cos300=√3(-sin60)+√3cos60=-3/2+√3/2=0
(c) when y=0, √3sinx+cosx=0
√3sinx=-cosx
tanx=-1/√3
x=150 or x=330
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