Find the quadrant of the angle \(\theta = 300 ^\circ\)

Step 1 ：First, we need to understand that a full circle has \(360 ^\circ\), and it is divided into four quadrants. The first quadrant is from \(0 ^\circ\) to \(90 ^\circ\), the second from \(90 ^\circ\) to \(180 ^\circ\), the third from \(180 ^\circ\) to \(270 ^\circ\) and the fourth from \(270 ^\circ\) to \(360 ^\circ\).

Step 2 ：Now, we have \(\theta = 300 ^\circ\). We see that \(300 ^\circ\) is greater than \(270 ^\circ\) and less than \(360 ^\circ\), so it falls in the fourth quadrant.