Respuesta :

Given:

Angle θ=289°.

For angles from 270° to 360°, the reference angle can be calculated by subtracting the given angle from 360° .

The reference angle of θ can be calculated as:

[tex]\begin{gathered} 360\degree-\theta=360\degree-289\degree \\ =71\degree \end{gathered}[/tex]

Therefore, reference angle of 289° is 71°.