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NCERT Class 12 · Ch 2 Exercise 2.2 · Q13

NCERT Class 12 Maths · Chapter 2 Inverse Trigonometric Functions · Exercise 2.2 Question 13

Evaluate cos⁻¹(cos(7π/6)).

💡 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: B: 5π/6.
  1. cos(7π/6)=−√3/2=cos(5π/6).
  2. Since 5π/6∈[0,π], the principal result is 5π/6, option B.

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