f(x)=2sinx^2+sin2x怎样化简2sin²x怎么变成1-cos2x的?

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f(x)=2sinx^2+sin2x怎样化简2sin²x怎么变成1-cos2x的?
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f(x)=2sinx^2+sin2x怎样化简2sin²x怎么变成1-cos2x的?
f(x)=2sinx^2+sin2x怎样化简
2sin²x怎么变成1-cos2x的?

f(x)=2sinx^2+sin2x怎样化简2sin²x怎么变成1-cos2x的?
f(x)=2sin²x +sin2x
=1-cos2x+sin2x
=√2[(√2/2)sin2x-(√2/2)cos2x] +1
=√2·sin(2x-π/4) +1
注:cos2x=1-2sin²x,这是二倍角公式.