Find all solutions in the interval $[0,2 \pi)$ \[ \tan ^{2} x=1 \]

Step 1 ：Given the equation \(\tan^2 x = 1\), we can simplify this to \(\tan x = \pm 1\).

Step 2 ：We are looking for the solutions in the interval \([0, 2\pi)\).

Step 3 ：The angles in this interval for which the tangent is either 1 or -1 are \(\frac{\pi}{4}\), \(\frac{3\pi}{4}\), \(\frac{5\pi}{4}\), and \(\frac{7\pi}{4}\).

Step 4 ：We can confirm these are the solutions by calculating the tangent of these angles, which are approximately 1, -1, 1, and -1 respectively.

Step 5 ：Final Answer: The solutions to the equation \(\tan^2 x = 1\) in the interval \([0, 2\pi)\) are \(\boxed{\frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \frac{7\pi}{4}}\).