Answer
Pole intersections at the different values of $\theta$ are written as:
$$(\frac{\pi}{4},0),(\frac{3\pi}{4},0),(\frac{5\pi}{4},0),(\frac{6\pi}{4},0),(0,0), (\frac{\pi}{2},0),(\frac{3\pi}{2},0)$$
Work Step by Step
Given: $$sin2\theta=cos2\theta$$
Thus, $$\theta=\frac{\pi}{8},\frac{9\pi}{8}$$
Pole intersections at the different values of $\theta$ are written as:
$$(\frac{\pi}{4},0),(\frac{3\pi}{4},0),(\frac{5\pi}{4},0),(\frac{6\pi}{4},0),(0,0), (\frac{\pi}{2},0),(\frac{3\pi}{2},0)$$
