sin(x)+cos(x)=2/3 根号2倍(sin(2x-π/4)+1)/1+tan(x)=?2sin(x)*cos(x)+2sin(x)^2)/(1+tan(x))=2sin(x)*cos(x)怎么来的。

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sin(x)+cos(x)=2/3根号2倍(sin(2x-π/4)+1)/1+tan(x)=?2sin(x)*cos(x)+2sin(x)^2)/(1+tan(x))=2sin(x)*cos(x)怎么

sin(x)+cos(x)=2/3 根号2倍(sin(2x-π/4)+1)/1+tan(x)=?2sin(x)*cos(x)+2sin(x)^2)/(1+tan(x))=2sin(x)*cos(x)怎么来的。
sin(x)+cos(x)=2/3 根号2倍(sin(2x-π/4)+1)/1+tan(x)=?
2sin(x)*cos(x)+2sin(x)^2)/(1+tan(x))
=2sin(x)*cos(x)
怎么来的。

sin(x)+cos(x)=2/3 根号2倍(sin(2x-π/4)+1)/1+tan(x)=?2sin(x)*cos(x)+2sin(x)^2)/(1+tan(x))=2sin(x)*cos(x)怎么来的。
根号2倍(sin(2x-π/4)+1)/1+tan(x)
=(sin(2x)-cos(2x)+1)/(1+tan(x))
=(2sin(x)*cos(x)+2sin(x)^2)/(1+tan(x))
=2sin(x)*cos(x)
又∵sin(x)+cos(x)=2/3
∴2sin(x)*cos(x)=(2/3)^2-1=-5/9
∴根号2倍(sin(2x-π/4)+1)/1+tan(x)=-5/9

NEW YORK (Reuters) - Shares of Citigroup (C.N) rose 2.7 percent before the bell on Monday after Goldman Sachs raised its rating on the stock. Hot StocksShares were up at $3.85 after closing at $3.75.(...

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NEW YORK (Reuters) - Shares of Citigroup (C.N) rose 2.7 percent before the bell on Monday after Goldman Sachs raised its rating on the stock. Hot StocksShares were up at $3.85 after closing at $3.75.(Reporting by Caroline Valetkevitch; Editing by James Dalgleish)Hot Stocks
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根号2倍(sin(2x-π/4)+1)/1+tan(x)
=(sin(2x)-cos(2x)+1)/(1+tan(x))
=(2sin(x)*cos(x)+2sin(x)^2)/(1+tan(x))
=2sin(x)*cos(x)
又∵sin(x)+cos(x)=2/3
∴2sin(x)*cos(x)=(2/3)^2-1=-5/9
∴根号2倍(sin(2x-π/4)+1)/1+tan(x)=-5/9