Question

The measure on angle 0 is 7pie/4. Measure of its reference angle is __ °, and the tan 0 is ___

Answer 1

Reference angle is
`(\pi )/(4)` and tan
`(7\pi )/(4)` = -1

Explanation:

`(7\pi )/(4)` lies in the 4th quadrant

and reference angle for angle in 4th quadrant is 2π - x , where x is the angle given.

and reference angle for
`(7\pi )/(4)` is

2π-
`(7\pi )/(4)` =
`(\pi )/(4)`

and tan
`(7\pi )/(4)` = -tan
`(\pi )/(4)`= -1

Since tan is negative in 4th quadrant ,therefore value will be negative for the given angle.