NCERT Class 12 · Ch 2 Miscellaneous Exercise · Q1
NCERT Class 12 Maths · Chapter 2 Inverse Trigonometric Functions · Miscellaneous Exercise Question 1
Evaluate cos⁻¹(cos(13π/6)).
💡 Concept Hints
- Recall the principal range of the inverse function before simplifying.
- Find an angle with the required trigonometric value, then verify it belongs to the principal range.
✅ Step-by-Step Solution
Final Answer: π/6
- Reduce the inner cosine by its period: cos(13π/6)=cos(π/6)=√3/2.
- π/6 belongs to [0,π], so the principal cosine inverse returns π/6.
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