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