For what angles $\theta$ between $0^{\circ}$ and $360^{\circ}$ is $\cos \theta=\sin \theta$ true? The angle $\theta$ in degrees is/are (Use a comma to separate answers as needed. Do not include the degree symbol in your answer.)

Step 1 ：The cosine and sine functions are equal at two points in the unit circle, namely when the angle is 45 degrees and 225 degrees. This is because the cosine function gives the x-coordinate of the point on the unit circle corresponding to the given angle, and the sine function gives the y-coordinate. When the angle is 45 degrees, the point is at (\(\sqrt{2}/2\), \(\sqrt{2}/2\)), and when the angle is 225 degrees, the point is at (-\(\sqrt{2}/2\), -\(\sqrt{2}/2\)). In both cases, the x and y coordinates are equal, so the cosine and sine of the angle are equal.

Step 2 ：The angles for which \(\cos \theta=\sin \theta\) between \(0^\circ\) and \(360^\circ\) are \(\boxed{45, 225}\).