函数y=tanx-tan

网友回答

∵y=tanx-tan
======以下答案可供参考======
供参考答案1:
分子分母同时除以
tan^2 x
再运算供参考答案2:
(tanx - tan³x)/(1 + 2tan²x + tan^4(x))
= (tanx - tan³x)/(1 + tan²x)²
= (tanx - tan³x)/(sec²x)²
= (tanx - tan³x) * cos^4(x)
= sinx cos³x - sin³x cosx
= sinx cosx (cos²x - sin²x)
= sinx cosx cos2x
= (1/2) sin2x cos2x
= (1/4) sin4x
最大值是1/4，最小值是-1/4
它们的积是-1/16