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Class 12 Inverse Trigonometric Functions · Short Answer2 Marksprincipal_values

Class 12 Maths · Inverse Trigonometric Functions · Short Answer #51

Evaluate \(\cos^{-1}[\cos(-7\pi/3)]\).

✅ Step-by-Step Solution

Final Answer: π/3
  1. Cosine is even and has period 2π.
  2. Thus cos(−7π/3)=cos(7π/3)=cos(π/3).
  3. Since π/3 lies in [0,π], the principal arccosine is π/3.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Cosine is even and has period 2π.
  • [1 mark] Thus cos(−7π/3)=cos(7π/3)=cos(π/3).
  • [0.5 marks] Since π/3 lies in [0,π], the principal arccosine is π/3.

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