三角形abc三内角abc成等差数列求√3sina+sin(c-30°)的取值范围

问题描述:

三角形abc三内角abc成等差数列求√3sina+sin(c-30°)的取值范围

abc成等差数列
则B=60
√3sina+sin(c-30°)
=√3sin(120-c)+sin(c-30°)
=√3sin(90+30-c)-sin(30-c)
=√3cos(30-c)-sin(30-c)
=1/2*sin(60-30+c)
=1/2sin(30+c)
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