NCERT Class 12 · Ch 2 Miscellaneous Exercise · Q2
NCERT Class 12 Maths · Chapter 2 Inverse Trigonometric Functions · Miscellaneous Exercise Question 2
Evaluate tan⁻¹(tan(7π/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
- Tangent has period π, so tan(7π/6)=tan(π/6).
- Since π/6∈(−π/2,π/2), the principal inverse is π/6.
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