NCERT Class 12 · Ch 2 Exercise 2.2 · Q8
NCERT Class 12 Maths · Chapter 2 Inverse Trigonometric Functions · Exercise 2.2 Question 8
Evaluate tan⁻¹[2cos(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: π/4
- sin⁻¹(1/2)=π/6.
- Thus 2cos(2π/6)=2cos(π/3)=1.
- The principal arctangent of 1 is π/4.
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