How do you solve tan 4x = tan 2x?

2 Answers
May 8, 2018

rarrx=(npi)/2 where nrarrZ

Explanation:

rarrtan4x=tan2x

rarr4x=npi+2x

rarr2x=npi

rarrx=(npi)/2 where nrarrZ

NOTE THAT If tanx=tanalpha then x=npi+alpha where n in ZZ

May 18, 2018

rarrtan4x=tan2x

rarrtan4x-tan2x=0

rarr(tan4x-tan2x)/(1+tan4x*tan2x)=0/(1+tan4x*tan2x)

rarrtan(4x-2x)=0

rarrtan2x=0

rarr2x=npi

rarrx= (npi)/2 where n in ZZ