Respuesta :

Given the angle

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

Add 2π to the angle to find the corresponding positive angle

so, the angle will be:

[tex]-\frac{5\pi}{4}+2\pi=\frac{3\pi}{4}[/tex]

So, the angle Lies in the second quadrant

so, the reference angle will be:

[tex]\pi-\frac{3\pi}{4}=\frac{\pi}{4}[/tex]

so, the answer will be the reference angle = π/4