已知sina+sinb=m,cosa+co *** =√2?
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1) m^2+2
=(sina+sinb)^2+(cosa+co *** )^2
=2+2(sina*sinb+cosa*co *** )
=2+2cos(a-b),
可知-1,3,(1)
sina+sinb=m,cosa+co *** =√2
(sina+sinb)^2+(cosa+co *** )^2=m^2+2
2+2cos(a-b)= m^2+2
-1<=cos(a-b)= m^2/2<=1
所以-√2<= m<=√2
(2)
当m取最小值时,即cos(a-b)= 1
a-b=PI/2
sina+sinb...,0,已知sina+sinb=m,cosa+co *** =√2
(1)求实数m的范围
(2)当m取最小值时,求sin(a+b)的值
=(sina+sinb)^2+(cosa+co *** )^2
=2+2(sina*sinb+cosa*co *** )
=2+2cos(a-b),
可知-1,3,(1)
sina+sinb=m,cosa+co *** =√2
(sina+sinb)^2+(cosa+co *** )^2=m^2+2
2+2cos(a-b)= m^2+2
-1<=cos(a-b)= m^2/2<=1
所以-√2<= m<=√2
(2)
当m取最小值时,即cos(a-b)= 1
a-b=PI/2
sina+sinb...,0,已知sina+sinb=m,cosa+co *** =√2
(1)求实数m的范围
(2)当m取最小值时,求sin(a+b)的值
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