设α属于(0,2⼀π)若sinα=3⼀5则根号2cos(α+π⼀4)的值

2024-11-06 13:49:27
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回答1:

2cos(α+π/4)=2[cosαcos(π/4)-sinαsin(π/4)]=2[(√2/2)cosα-(√2/2)sinα]=√2(cosα-sinα)因为α属于(0,π/2)sinα=3/5、所以cosα=4/5所以√2(cosα-sinα)=]=√2/5 老兄、α属于(0,π/2)吧