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Class 12 Inverse Trigonometric Functions · Conceptual Answer1 Marksinverse_trigonometric_equations

Class 12 Maths · Inverse Trigonometric Functions · Conceptual Answer #84

If \(4\cos^{-1}x+\sin^{-1}x=\pi\), find x.

✅ Step-by-Step Solution

Final Answer: √3/2
  1. Using arcsin x=π/2−arccos x gives 3arccos x=π/2, so arccos x=π/6 and x=√3/2.
  2. √3/2

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Using arcsin x=π/2−arccos x gives 3arccos x=π/2, so arccos x=π/6 and x=√3/2.
  • [0.5 marks] √3/2

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