Measure of angle 0 is 7pie/ 4 reference the angle and tan

Question

asked Aug 7, 2020 172k views

1 Answer

Ivan Kruglov · Answer 1 · 2020-08-13T23:03:20+0000

Answer:

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 .