Question

Solve for all positive values of θ less than 360° ,
`3 tan \theta+2 =-1`

Answer 1

`\theta=225°,315°`

Answer:

Solution given:

`3 tan \theta+2 =-1`

keeping constant term on one side

`3Tan\theta=-1-2`

`Tan\theta=-3/3`

`Tan\theta =-1`

Since tan is negative in third and fourth quadrant.

`Tan\theta=Tan(180+45),Tan(360-45)`

`\theta=225°,315°`