Question

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

Answer 1

Answer:

Reference angle is $\frac{\pi }{4}$ and tan$\frac{7\pi }{4}$ = -1

Step-by-step explanation:

$\frac{7\pi }{4}$ 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 $\frac{7\pi }{4}$ is  

2π-$\frac{7\pi }{4}$ = $\frac{\pi }{4}$

and tan$\frac{7\pi }{4}$ = -tan $\frac{\pi }{4}$=  -1

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