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CBSE Class 12 Mathematics 2026 Main Paper 65/4/2 · Q222 Marksprincipal_values

CBSE Class 12 Mathematics 2026 Main Paper 65/4/2 · Question 22 (Inverse Trigonometric Functions)

Evaluate \(\tan^{-1}(-1/\sqrt3)+\cot^{-1}(1/\sqrt3)+\tan^{-1}(\sin(-\pi/2))+\tan^{-1}(\tan(2\pi/3))\).

✅ Step-by-Step Solution

Final Answer: −5π/12.
  1. The first two values are −π/6 and π/3.
  2. The third is arctan(−1)=−π/4. The last is −π/3 on the principal arctangent branch.
  3. Add the four values to get −5π/12.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] The first two values are −π/6 and π/3.
  • [1 mark] The third is arctan(−1)=−π/4. The last is −π/3 on the principal arctangent branch.
  • [0.5 marks] Add the four values to get −5π/12.

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All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/4/2

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