Prove that tan4x= (4tanx(1-tan^2x)) / 1-6tan^x+tan^4x
we know tan2Q = 2tanQ / 1-tan2Q
using this formula,
tan4x = tan2.(2x)
=2tan2x / 1-tan22x
= 2(2tanx/1-tan2x) / 1-(2tanx/{1-tan2x}2)
simplify to get. , 4tanx(1-tan2x) / 1-6tan2x+tan4x.
Prove that tan4x= (4tanx(1-tan^2x)) / 1-6tan^x+tan^4x
we know tan2Q = 2tanQ / 1-tan2Q
using this formula,
tan4x = tan2.(2x)
=2tan2x / 1-tan22x
= 2(2tanx/1-tan2x) / 1-(2tanx/{1-tan2x}2)
simplify to get. , 4tanx(1-tan2x) / 1-6tan2x+tan4x.