NCERT Class 12 · Ch 2 Exercise 2.1 · Q11
NCERT Class 12 Maths · Chapter 2 Inverse Trigonometric Functions · Exercise 2.1 Question 11
Evaluate tan⁻¹(1)+cos⁻¹(−1/2)+sin⁻¹(−1/2).
💡 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: 3π/4
- The principal values are π/4, 2π/3 and −π/6, respectively.
- Their sum is (3+8−2)π/12=9π/12=3π/4.
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