Question

已知函数f(x)=2cos2x+sin^2x\x0c(1)求f(2派/3) (2)求函数f(x)的最大值和最小值\x0c

Answer 1

(1)f(x)=2(1-2sinx^2)+sinx^2=-3sinx^2+2

f(2π/3)=-3(3/4)+2=-1/4

(2)-1