Answer:
Reference angle is [tex]\frac{\pi }{4}[/tex] and tan[tex]\frac{7\pi }{4}[/tex] = -1
Step-by-step explanation:
[tex]\frac{7\pi }{4}[/tex] 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 [tex]\frac{7\pi }{4}[/tex] is
2π-[tex]\frac{7\pi }{4}[/tex] = [tex]\frac{\pi }{4}[/tex]
and tan[tex]\frac{7\pi }{4}[/tex] = -tan [tex]\frac{\pi }{4}[/tex]= -1
Since tan is negative in 4th quadrant ,therefore value will be negative for the given angle.
