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NCERT Class 12 · Ch 2 Exercise 2.2 · Q14

NCERT Class 12 Maths · Chapter 2 Inverse Trigonometric Functions · Exercise 2.2 Question 14

Evaluate sin(π/3−sin⁻¹(−1/2)).

💡 Concept Hints

  1. Recall the principal range of the inverse function before simplifying.
  2. Find an angle with the required trigonometric value, then verify it belongs to the principal range.

✅ Step-by-Step Solution

Final Answer: D: 1.
  1. sin⁻¹(−1/2)=−π/6.
  2. The angle becomes π/3+π/6=π/2, whose sine is 1. Select D.

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