[tex]\theta=225°,315°[/tex]
Answer:
Solution given:
[tex]3 tan \theta+2 =-1[/tex]
keeping constant term on one side
[tex]3Tan\theta=-1-2[/tex]
[tex]Tan\theta=-3/3[/tex]
[tex]Tan\theta =-1[/tex]
Since tan is negative in third and fourth quadrant.
[tex]Tan\theta=Tan(180+45),Tan(360-45)[/tex]
[tex]\theta=225°,315°[/tex]
