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
答
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)
0