Answer:
Therefore,
[tex]\theta=74.11\°\ or\ \theta=254.11\°[/tex]
Step-by-step explanation:
Given:
0° < θ < 360°
tan θ = 3.5134
To Find:
θ in degrees = ?
Solution:
0° < θ < 360° .............Given
Means ' θ ' is between 0° and 360°
[tex]\tan \theta=3.5134[/tex] .............Given
Therefore,
[tex]\theta=\tan^{-1} (3.5134)[/tex]
Also,
[tex]\tan (180+\theta)=\tan \theta[/tex]
So ' θ ' will have Two values for tan θ =3.5134
[tex]\therefore \theta=74.11\°\ or\ \theta=180+74.11=254.11\°[/tex]
Therefore,
[tex]\theta=74.11\°\ or\ \theta=254.11\°[/tex]
