使f(x)=sinx+cosx=√2*sin(x+π/4) 步骤是什么f(x)=sinx+cosx=√2(√2/2sinx+√2/2cosx) -------(提一个√2出来) =√2(sinxcosπ/4+cosxsinπ/4)-(把(√2/2分别变为cosπ/4,sinπ/4) =√2*sin(x+π/4) --------
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![使f(x)=sinx+cosx=√2*sin(x+π/4) 步骤是什么f(x)=sinx+cosx=√2(√2/2sinx+√2/2cosx) -------(提一个√2出来) =√2(sinxcosπ/4+cosxsinπ/4)-(把(√2/2分别变为cosπ/4,sinπ/4) =√2*sin(x+π/4) --------](/uploads/image/z/5349429-45-9.jpg?t=%E4%BD%BFf%28x%29%3Dsinx%2Bcosx%3D%E2%88%9A2%2Asin%28x%2B%CF%80%2F4%29+%E6%AD%A5%E9%AA%A4%E6%98%AF%E4%BB%80%E4%B9%88f%28x%29%3Dsinx%2Bcosx%3D%E2%88%9A2%EF%BC%88%E2%88%9A2%2F2sinx%2B%E2%88%9A2%2F2cosx%EF%BC%89+-------%28%E6%8F%90%E4%B8%80%E4%B8%AA%E2%88%9A2%E5%87%BA%E6%9D%A5%29++++%3D%E2%88%9A2%EF%BC%88sinxcos%CF%80%2F4%2Bcosxsin%CF%80%2F4%EF%BC%89-%EF%BC%88%E6%8A%8A%EF%BC%88%E2%88%9A2%2F2%E5%88%86%E5%88%AB%E5%8F%98%E4%B8%BAcos%CF%80%2F4%2Csin%CF%80%2F4%EF%BC%89++++%3D%E2%88%9A2%2Asin%28x%2B%CF%80%2F4%29++++++++++++--------)
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使f(x)=sinx+cosx=√2*sin(x+π/4) 步骤是什么f(x)=sinx+cosx=√2(√2/2sinx+√2/2cosx) -------(提一个√2出来) =√2(sinxcosπ/4+cosxsinπ/4)-(把(√2/2分别变为cosπ/4,sinπ/4) =√2*sin(x+π/4) --------
使f(x)=sinx+cosx=√2*sin(x+π/4) 步骤是什么
f(x)=sinx+cosx=√2(√2/2sinx+√2/2cosx) -------(提一个√2出来)
=√2(sinxcosπ/4+cosxsinπ/4)-(把(√2/2分别变为cosπ/4,sinπ/4)
=√2*sin(x+π/4) ------------------ (两角和正弦公式)
这里有一个,看不懂,特别是到了最后一步不懂了
使f(x)=sinx+cosx=√2*sin(x+π/4) 步骤是什么f(x)=sinx+cosx=√2(√2/2sinx+√2/2cosx) -------(提一个√2出来) =√2(sinxcosπ/4+cosxsinπ/4)-(把(√2/2分别变为cosπ/4,sinπ/4) =√2*sin(x+π/4) --------
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