数学三角函数 函数f(x)=2sinxcosx+2sin(x+π/4)sin(x+3π/4)+1.怎么把 函数f(x)=2sinxcosx+2sin(x+π/4)sin(x+3π/4)+1.拆开,再结合,
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![数学三角函数 函数f(x)=2sinxcosx+2sin(x+π/4)sin(x+3π/4)+1.怎么把 函数f(x)=2sinxcosx+2sin(x+π/4)sin(x+3π/4)+1.拆开,再结合,](/uploads/image/z/12289893-69-3.jpg?t=%E6%95%B0%E5%AD%A6%E4%B8%89%E8%A7%92%E5%87%BD%E6%95%B0+%E5%87%BD%E6%95%B0f%28x%29%3D2sinxcosx%2B2sin%28x%2B%CF%80%2F4%29sin%28x%2B3%CF%80%2F4%29%2B1.%E6%80%8E%E4%B9%88%E6%8A%8A+%E5%87%BD%E6%95%B0f%28x%29%3D2sinxcosx%2B2sin%28x%2B%CF%80%2F4%29sin%28x%2B3%CF%80%2F4%29%2B1.%E6%8B%86%E5%BC%80%2C%E5%86%8D%E7%BB%93%E5%90%88%2C)
数学三角函数 函数f(x)=2sinxcosx+2sin(x+π/4)sin(x+3π/4)+1.怎么把 函数f(x)=2sinxcosx+2sin(x+π/4)sin(x+3π/4)+1.拆开,再结合,
数学三角函数 函数f(x)=2sinxcosx+2sin(x+π/4)sin(x+3π/4)+1.
怎么把 函数f(x)=2sinxcosx+2sin(x+π/4)sin(x+3π/4)+1.拆开,再结合,
数学三角函数 函数f(x)=2sinxcosx+2sin(x+π/4)sin(x+3π/4)+1.怎么把 函数f(x)=2sinxcosx+2sin(x+π/4)sin(x+3π/4)+1.拆开,再结合,
f(x)=2sinxcosx+2sin(x+π/4)sin(x+3π/4)+1
=2sinxcosx+2﹙sinxcosπ/4+cosxsinπ/4)﹙sinxcos3π/4+cosxsin3π/4)+1
=2sinxcosx+2﹙√2/2sinx+√2/2cosx)﹙√2/2cosx-√2/2sinx)+1
=2sinxcosx+2﹙1/2sinxcosx-1/2sin²x+1/2cos²x-1/2sinxcosx)+1
=2sinxcosx-sin²x+cos²x+1
=2sinxcosx-sin²x+cos²x+sin²x+cos²x
=2sinxcosx+2cos²x
=sin2x+coszx+1
=√2sin(2x+π/4﹚+1
f(x)=sin(2x)+cos(x+pi/4-x-3*pi/4)-cos(x+pi/4+x+3*pi/4)+1
=sin(2x)+0-cos(2x+pi)+1
=sin(2x)+cos(2x)+1
=2*sinx*cosx+2(cosx)^2
=2*cosx(sinx+cosx)