函数y=sin(x+π/3)×sin(x+π/2)的最小正周期T=多少
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/04 04:44:14
![函数y=sin(x+π/3)×sin(x+π/2)的最小正周期T=多少](/uploads/image/z/2443461-69-1.jpg?t=%E5%87%BD%E6%95%B0y%3Dsin%28x%2B%CF%80%2F3%29%C3%97sin%28x%2B%CF%80%2F2%29%E7%9A%84%E6%9C%80%E5%B0%8F%E6%AD%A3%E5%91%A8%E6%9C%9FT%3D%E5%A4%9A%E5%B0%91)
函数y=sin(x+π/3)×sin(x+π/2)的最小正周期T=多少
函数y=sin(x+π/3)×sin(x+π/2)的最小正周期T=多少
函数y=sin(x+π/3)×sin(x+π/2)的最小正周期T=多少
原式=(sinx/2+根号3cosx/2)cosx=sinxcosx/2+根号3cos^2x/2=sin2x/4+根号3cos2x/4+根号3/4=2sin(2x+π/3)+根号3/4
T=2π/W=π