化简y=根号下(1+2sin(派-2)cos(派+2))
问题描述:
化简y=根号下(1+2sin(派-2)cos(派+2))
答
y=根号下(1+2sin(派-2)cos(派+2))
=根号下(1-2sin2cos2)
=根号下[(sin2)^2+(cos2)^2-2sin2cos2]
=根号下[(sin2-cos2)^2]
=sin2-cos2
=根号2*sin(2-派/4)