The graph of an inverse trigonometric function passes through the point $(0, \frac{\pi}{2})$ with asymptotes at $y = 0$ and $y = \pi$. This graph represents the function:
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Always check the domain and boundaries (y-intercepts and asymptotes) of the basic inverse trigonometric functions:
- \(\tan^{-1}(0) = 0\)
- \(\cot^{-1}(0) = \frac{\pi}{2}\)
- \(\sec^{-1}(x)\) and \(\csc^{-1}(x)\) are undefined at \(x = 0\).
