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NCERT Class 12 · Ch 2 Exercise 2.1 · Q8

NCERT Class 12 Maths · Chapter 2 Inverse Trigonometric Functions · Exercise 2.1 Question 8

Find the principal value of cot⁻¹(√3).

💡 Concept Hints

  1. Recall the principal range of the inverse function before simplifying.
  2. Find an angle with the required trigonometric value, then verify it belongs to the principal range.

✅ Step-by-Step Solution

Final Answer: π/6
  1. The principal range is (0,π).
  2. cot(π/6)=√3.
  3. The angle π/6 belongs to that range, so it is the required value.

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