sin∧2x+2sinxcosx+3cos∧2x值域
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![sin∧2x+2sinxcosx+3cos∧2x值域](/uploads/image/z/7109162-26-2.jpg?t=sin%E2%88%A72x%2B2sinxcosx%2B3cos%E2%88%A72x%E5%80%BC%E5%9F%9F)
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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