sin∧2x+2sinxcosx+3cos∧2x值域

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sin∧2x+2sinxcosx+3cos∧2x值域sin∧2x+2sinxcosx+3cos∧2x值域sin∧2x+2sinxcosx+3cos∧2x值域原式=1+sin2x+cos2x+1=sin

sin∧2x+2sinxcosx+3cos∧2x值域
sin∧2x+2sinxcosx+3cos∧2x值域

sin∧2x+2sinxcosx+3cos∧2x值域
原式=1+sin2x+cos2x+1
=sin2x+cos2x+2
=√2sin(2x+派)+2
值域[2-√2,2+√2]

原式=1/2(1-cos2x)+sin2x+3/2(1+cos2x)
=sin2x+cos2x+2
=√2sin(2x+π/4)+2
值域为[2-√2,2+√2]
望采纳,谢谢!