NCERT Class 12 · Ch 2 Exercise 2.2 · Q10
NCERT Class 12 Maths · Chapter 2 Inverse Trigonometric Functions · Exercise 2.2 Question 10
Evaluate sin⁻¹(sin(2π/3)).
💡 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/3
- sin(2π/3)=sin(π−2π/3)=sin(π/3).
- π/3 is in [−π/2,π/2]; the principal inverse therefore gives π/3.
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