在平面直角坐标系xoy中,以ox轴为始边做两个锐角a,b,它们的终边分别与单位圆相交于A,B两点,已知A,B的横坐标分别

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  • A,B的横坐标分别为,2根号5/5

    得cos a=根号2/10 cos b=2根号5/5

    cos(a-b)=cos acos b+sin asin b=根号2/10*2根号5/5+7根号2/10*根号5/5

    =根号10/25+7根号10/50

    =9根号10/50

    2

    A (根号2/10,7根号2/10)

    cos=根号2/10*c1+7根号2/10*c2/(1*1)=2/根号2

    c1^2+c2^2=1

    得c1=0.8

    c2= 0.6

    c1=-0.6

    c2= 0.8

    C(0.8,0.6)或(-0.6,0.8)