Question

已知函数f(x)=根号3sin^2x+sinxcosx-根号3/2(属于R) (1)若x属于(0,派/2),求函数f(x

Answer 1

已知函数f(x)=(√3)sin²x+sinxcosx-(√3)/2；(1)若x∈(0,π/2),求函数f(x)的最大值；(2)在三角形ABC中,若AA；故2B-π/3=π-π/6=5π/6,2B=5π/6+π/3=7π/6,故B=7π/12；

于是C=π-(A+B)=π-(π/4+7π/12)=π-5π/6=π/6.