函数y=cos(x+π/2)+sin(π/3-x)化简
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函数y=cos(x+π/2)+sin(π/3-x)化简
![函数y=cos(x+π/2)+sin(π/3-x)化简](/uploads/image/z/1307932-52-2.jpg?t=%E5%87%BD%E6%95%B0y%3Dcos%28x%2B%CF%80%2F2%EF%BC%89%2Bsin%EF%BC%88%CF%80%2F3-x%29%E5%8C%96%E7%AE%80)
y=cos(x+π/2)+sin(π/3-x)
y=-sinx+sinπ/3cosx-sinxcosπ/3
=-sinx+√3cosx/2-sinx/2
=√3cosx/2-3sinx/2
=√3(cosx/2-√3sinx/2)
=√3sin(π/6-x)
y=-sinx+sinπ/3cosx-sinxcosπ/3
=-sinx+√3cosx/2-sinx/2
=√3cosx/2-3sinx/2
=√3(cosx/2-√3sinx/2)
=√3sin(π/6-x)
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