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Class 12 Inverse Trigonometric Functions · Conceptual Answer1 Marksprincipal_values

Class 12 Maths · Inverse Trigonometric Functions · Conceptual Answer #42

Evaluate \(\sin^{-1}[\cos(43\pi/5)]\).

✅ Step-by-Step Solution

Final Answer: −π/10
  1. Reduce 43π/5 to 3π/5 modulo 2π; its cosine is sin(−π/10), with −π/10 principal.
  2. −π/10

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Reduce 43π/5 to 3π/5 modulo 2π; its cosine is sin(−π/10), with −π/10 principal.
  • [0.5 marks] −π/10

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