NCERT Class 12 · Ch 2 Exercise 2.2 · Q11
NCERT Class 12 Maths · Chapter 2 Inverse Trigonometric Functions · Exercise 2.2 Question 11
Evaluate tan⁻¹(tan(3π/4)).
💡 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/4
- tan(3π/4)=tan(−π/4)=−1.
- The angle −π/4 lies in (−π/2,π/2), so it is the principal value.
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