作业帮已知f(x)=sin(2x+π/3)+sin2x,当x ∈[-π/6,π/3]时,求f(x)的最小正周期和最值
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/06 09:23:58
![已知f(x)=sin(2x+π/3)+sin2x,当x ∈[-π/6,π/3]时,求f(x)的最小正周期和最值](/uploads/image/z/12582809-17-9.jpg?t=%E5%B7%B2%E7%9F%A5f%28x%29%3Dsin%282x%2B%CF%80%2F3%29%2Bsin2x%2C%E5%BD%93x+%E2%88%88%5B-%CF%80%2F6%2C%CF%80%2F3%5D%E6%97%B6%2C%E6%B1%82f%28x%29%E7%9A%84%E6%9C%80%E5%B0%8F%E6%AD%A3%E5%91%A8%E6%9C%9F%E5%92%8C%E6%9C%80%E5%80%BC)
x){}K4*4m34*7kj9F:ONPx 5I>M&ZixO'x6gI= =6IE3\Άna
dh=[ivb D *i 62[#@aڑDuayv vl
已知f(x)=sin(2x+π/3)+sin2x,当x ∈[-π/6,π/3]时,求f(x)的最小正周期和最值
已知f(x)=sin(2x+π/3)+sin2x,当x ∈[-π/6,π/3]时,求f(x)的最小正周期和最值
已知f(x)=sin(2x+π/3)+sin2x,当x ∈[-π/6,π/3]时,求f(x)的最小正周期和最值
f(x)=sin(2x+π/3)+sin2x=1/2sin2x+1/2*根号3cos2x+sin2x=根号3sin(2x+π/6)
最小正周期=2π/2=π
最大值=根号3
最小值=-根号3