Answer
(a) $-7$ lies in the Fourth Quadrant.
(b) $1.5$ lies in the First 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) $\frac{3\pi}{2}\lt-7+2(2\pi)\lt2\pi$ , so $-7$ lies in the Fourth Quadrant.
(b) $0\lt1.5\lt\frac{\pi}{2}$ , so $1.5$ lies in the First Quadrant.
