Mathbee CBSE Mathbee · CBSE Class 12 Maths
Class 12 Inverse Trigonometric Functions · Mcq Single Correct1 Marksdomains_and_ranges

Class 12 Maths · Inverse Trigonometric Functions · Mcq Single Correct #13

For \(y=\cot^{-1}x\) with x<0, which interval is exactly the range of y?

✅ Step-by-Step Solution

Final Answer: Option (B): \(\pi/2<y<\pi\)
  1. Arccot takes values in (0,π); negative cotangent occurs in its second-quadrant part (π/2,π).

Master Chapter 2: Inverse Trigonometric Functions

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Inverse Trigonometric Functions.
📘 Chapter Notes & All Exercises 🚀 Open Interactive Workspace →
← Previous Question
If \(y=\tan^{-1}x\), x real, which interval contains precisely its…
Next Question →
For |x|<1, simplify \(\sin(\tan^{-1}x)\).

More Practice Questions in Inverse Trigonometric Functions

Related Questions in Inverse Trigonometric Functions