化简:根号1+2sin(π-2)cos(π-2)快快快 谢谢啦

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化简:根号1+2sin(π-2)cos(π-2)快快快 谢谢啦
化简:根号1+2sin(π-2)cos(π-2)
快快快 谢谢啦

化简:根号1+2sin(π-2)cos(π-2)快快快 谢谢啦
根号1+2sin(π-2)cos(π-2)
=根号(sin²(π-2)+cos²(π-2)+2sin(π-2)cos(π-2))
=根号(sin(π-2)+cos(π-2))²
=sin(π-2)+cos(π-2)

π/2<2<π
sin2>0,cos2<0
sin2-cos2>0
根号{1+2sin(π-2)cos(π-2)}
= 根号{1+2sin2(-cos2}
= 根号{(sin2)^2+(cos2)^2-2sin2cos2}
= 根号(sin2-cos2)^2
= sin2-cos2