化简sinA+sin(A+2/3π)+cos(A+5/6π)
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化简sinA+sin(A+2/3π)+cos(A+5/6π)
RT
RT
![化简sinA+sin(A+2/3π)+cos(A+5/6π)](/uploads/image/z/6957167-23-7.jpg?t=%E5%8C%96%E7%AE%80sinA%2Bsin%EF%BC%88A%2B2%2F3%CF%80%EF%BC%89%2Bcos%EF%BC%88A%2B5%2F6%CF%80%EF%BC%89)
sinA+sin(A+2/3π)+cos(A+5/6π)
=sina+sinacos2/3pai+sin2/3paicosa+cosacos5/6pai-sinasin5/6pai
=sina-1/2sina+根号3/2cosa-根号3/2cosa-1/2sina
=0
=sina+sinacos2/3pai+sin2/3paicosa+cosacos5/6pai-sinasin5/6pai
=sina-1/2sina+根号3/2cosa-根号3/2cosa-1/2sina
=0
化简sinA+sin(A+2/3π)+cos(A+5/6π)
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