How do you solve tan2x+tanx=3tanx+3 for the domain 0x360?

1 Answer
Jun 23, 2018

tan2x+tanx=3tanx+3

tan2x+tanx3tanx3=0

tanx(tanx+1)3(tanx+1)=0

(tanx+1)(tanx3)=0

When

#tanx+1=0

tanx=1=tan(18045)=tan(36045)

So x=135or315

When

tanx3=0

tanx=3=tan60=tan(180+60)

So x=60or240