Question

At which point does \[y=\cot^{-1}x\] cross the y-axis?

Options

• \[(0,\frac{\pi}{2})\]

• \[(0,0)\]

• \[(0,-\frac{\pi}{2})\]

• \[(0,\pi)\]

Answer 1

The y-axis corresponds to \[x=0\]. For \[y=\cot^{-1}x\], the graph crosses it at \[(0,\frac{\pi}{2})\].