Answer:
[tex]22.91^\circ, 202.91^\circ[/tex]
Step-by-step explanation:
Given that:
[tex]tan\theta=0.4226[/tex]
To find:
The two values of [tex]\theta = ?[/tex]
Solution:
By given equation:
[tex]\theta = tan^{-1}(0.4226)[/tex]
[tex]\theta[/tex] can be equal to [tex]\approx 20.91^\circ[/tex]
Also, we know the property that, [tex]tan\theta[/tex] is positive in the 3rd quadrant.
and following is also true:
[tex]tan\theta = tan(180^\circ+\theta)[/tex]
Therefore, another value possible for [tex]\theta[/tex] can be:
[tex]\theta =180^\circ+22.91\\\Rightarrow \theta \approx 202.91^\circ[/tex]
Therefore, the answer is:
[tex]22.91^\circ, 202.91^\circ[/tex]
