Question

Help with blanks because I have no clue what I’m doing and just need answers

Answer 1

45º and -1.

Explanation:

The angle is
`$\theta = (7 \pi)/(4) $` given in radians, but you want the angle in degrees.

`$(7 \pi)/(4) \cdot (180)/(\pi) = (1260)/(4) = 315\º$`

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
`45\º`.

Therefore, the reference angle is
`45\º`.

Also, the tangent of
`$\theta = (7 \pi)/(4) $` is -1