NCERT Class 12 · Ch 2 Exercise 2.1 · Q12
NCERT Class 12 Maths · Chapter 2 Inverse Trigonometric Functions · Exercise 2.1 Question 12
Evaluate cos⁻¹(1/2)+2sin⁻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: 2π/3
- cos⁻¹(1/2)=π/3 and sin⁻¹(1/2)=π/6.
- Thus the expression is π/3+2(π/6)=2π/3.
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