Answer
(a) $-1$ lies in the Fourth Quadrant.
(b) $8$ lies in the Second Quadrant.
Work Step by Step
If $θ$ lies in the:
- First Quadrant, then $0\ltθ\lt\frac{\pi}{2}$
- Second Quadrant, then $\frac{\pi}{2}\ltθ\lt\pi$
- Third Quadrant, then $\pi\ltθ\lt\frac{3\pi}{2}$
- Fourth Quadrant, then $\frac{3\pi}{2}\ltθ\lt2\pi$
(a) $\frac{3\pi}{2}\lt-1+2\pi\lt2\pi$ , so $-1$ lies in the Fourth Quadrant.
(b) $\frac{\pi}{2}\lt8-2\pi\lt\pi$ , so $8$ lies in the Second Quadrant.
