Respuesta :

MichaelLiu
Imagine the unit circle.

[tex]\pi \ \textless \ \frac{5\pi}{4} \ \textless \ 2\pi[/tex]

Therefore, the point will be below the x axis, so its y coordinate will be negative.

Therefore, the sign is negative.

Answer:

Negative

Step-by-step explanation:

Given is an angle 5pi/4 and we have to find sine value

Since 5pi/4 lies in III quadrant using All silver tea cups rule, sine will be negative.

Principal value for

[tex]\frac{5\pi}{4} is \frac{\pi}{4}[/tex]

Hence sin  [tex]=\frac{5\pi}{4} =\frac{-1}{\sqrt{2} }[/tex]