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CBSE Class 12 Mathematics 2026 Main Paper 65/5/3 · Q212 Marksprincipal_values

CBSE Class 12 Mathematics 2026 Main Paper 65/5/3 · Question 21 (Inverse Trigonometric Functions)

Evaluate \(\tan[\cos^{-1}(\tan(3\pi/4))]\).

✅ Step-by-Step Solution

Final Answer: 0.
  1. The inner tangent is −1.
  2. The principal inverse cosine of −1 is π.
  3. Then tan π=0.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] The inner tangent is −1.
  • [1 mark] The principal inverse cosine of −1 is π.
  • [0.5 marks] Then tan π=0.

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