函数f(x)=(1-tan²2x)/(1+tan²2x)的最小正周期是?
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![函数f(x)=(1-tan²2x)/(1+tan²2x)的最小正周期是?](/uploads/image/z/5413749-69-9.jpg?t=%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%3D%EF%BC%881-tan%26%23178%3B2x%EF%BC%89%2F%EF%BC%881%2Btan%26%23178%3B2x%EF%BC%89%E7%9A%84%E6%9C%80%E5%B0%8F%E6%AD%A3%E5%91%A8%E6%9C%9F%E6%98%AF%3F)
函数f(x)=(1-tan²2x)/(1+tan²2x)的最小正周期是?
函数f(x)=(1-tan²2x)/(1+tan²2x)的最小正周期是?
函数f(x)=(1-tan²2x)/(1+tan²2x)的最小正周期是?
f(x)=(1-sin²x/cos²x)/(1+sin²x/cos²x)
=(cos²x-sin²x)/(cos²x+sin²x)
=cos2x
所以T=2π/2=π