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Class 12 Inverse Trigonometric Functions · Conceptual Answer1 Marksprincipal_values

Class 12 Maths · Inverse Trigonometric Functions · Conceptual Answer #35

Evaluate \(\cos^{-1}(1/2)+2\sin^{-1}(1/2)\).

✅ Step-by-Step Solution

Final Answer: 2π/3
  1. The principal values are arccos(1/2)=π/3 and arcsin(1/2)=π/6, so the sum is π/3+2·π/6.
  2. 2π/3

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] The principal values are arccos(1/2)=π/3 and arcsin(1/2)=π/6, so the sum is π/3+2·π/6.
  • [0.5 marks] 2π/3

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