作业帮sin∧2x+2sinxcosx+3cos∧2x值域
来源：学生作业帮助网 编辑：作业帮 时间：2024/08/05 15:00:09
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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
=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！
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