Question

f(x)= 根号2sinx 根号2cosx 最大值时x取值集合

Answer 1

f(x)=√2(sinx+cosx)=√2*√2sin(x+π/4)=2sin(x+π/4)

当

x+π/4=π/2+2kπ 即x=π/4+2kπ 时,f(x)取最大值2

所以f(x)取最大值时的x的集合为：{x|x=π/4+2kπ k∈Z}