Find all solutions of the equation in the interval $[0,2 \pi)$. \[ \sec \theta-1=0 \]

Step 1 ：Rewrite the given equation \(\sec \theta-1=0\) as \(\frac{1}{\cos \theta} - 1 = 0\)

Step 2 ：Solve the equation for \(\cos \theta\) to get \(\cos \theta = 1\)

Step 3 ：The solutions to this equation in the interval [0, 2π) are \(\theta = 0\) and \(\theta = 2\pi\)

Step 4 ：However, since the interval includes 0 but excludes 2π, the only solution in this interval is \(\theta = 0\)

Step 5 ：Final Answer: The solution to the equation \(\sec \theta-1=0\) in the interval [0,2 \pi) is \(\boxed{0}\)