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CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7 · Q263 Marksprincipal_values

CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7 · Question 26 (Inverse Trigonometric Functions)

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

✅ Step-by-Step Solution

Final Answer: 2π/3.
  1. The inverse cosine gives 2π/3.
  2. The principal inverse sine and tangent give π/3 and −π/3 respectively.
  3. Add the three values.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] The inverse cosine gives 2π/3.
  • [2 marks] The principal inverse sine and tangent give π/3 and −π/3 respectively.
  • [0.5 marks] Add the three values.

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All Questions in CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7

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