a.maths ar

2007-02-21 2:11 am
solve the following equations for 0<= x<= 360

2sin^2x - sin2x=2

回答 (1)

2007-02-21 2:34 am
✔ 最佳答案
2sin^2x-sin2x=2
2sin^2x-2sinxcosx-2=0
2sin^2x-2sinxcosx-2cos^2x-2sin^2x=0
cos^2x+sinxcosx=0
cosx(cosx+sinx)=0
cosx=0 or cosx=-sinx

x=90(rej) or 270 or 135 or 315
參考: .


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