Answer:
45º and -1.
Step-by-step explanation:
The angle is[tex]$\theta = \frac{7 \pi}{4} $[/tex] given in radians, but you want the angle in degrees.
[tex]$\frac{7 \pi}{4} \cdot \frac{180}{\pi} = \frac{1260}{4} = 315\º$[/tex]
We got a Quadrant IV Angle.
Once the reference angle is the smallest angle that the terminal side of a given angle makes with the x-axis, we are talking about the angle [tex]45\º[/tex].
Therefore, the reference angle is [tex]45\º[/tex].
Also, the tangent of [tex]$\theta = \frac{7 \pi}{4} $[/tex] is -1
