Respuesta :

Answer:

[tex]\theta=\frac{3\pi}{4},\theta=\frac{7\pi}{4}[/tex]

Step-by-step explanation:

we are given

[tex]tan^{-1}(-1)[/tex]

Let's assume angle as theta

[tex]\theta =tan^{-1}(-1)[/tex]

so, we get

[tex]tan(\theta)=-1[/tex]

now, we can use unit circle and find theta

and we get

[tex]\theta=\frac{3\pi}{4},\theta=\frac{7\pi}{4}[/tex]

So, solution is

[tex]\theta=\frac{3\pi}{4},\theta=\frac{7\pi}{4}[/tex]