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  • 數(shù)學(xué)三角函數(shù) 函數(shù)f(x)=2sinxcosx+2sin(x+π/4)sin(x+3π/4)+1.

    數(shù)學(xué)三角函數(shù) 函數(shù)f(x)=2sinxcosx+2sin(x+π/4)sin(x+3π/4)+1.
    怎么把 函數(shù)f(x)=2sinxcosx+2sin(x+π/4)sin(x+3π/4)+1.拆開,再結(jié)合,
    數(shù)學(xué)人氣:776 ℃時(shí)間:2020-09-19 01:54:29
    優(yōu)質(zhì)解答
    f(x)=2sinxcosx+2sin(x+π/4)sin(x+3π/4)+1=sin2x+2sin(x+π/4)sin(sin[π/2+( x+π/4)]+1=sin2x+2sin(x+π/4)cos( x+π/4)+1=sin2x+sin(2x+π/2)+1=sin2x+cos2x+1=√2sin(2x+π/4) +1
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