CBSE Class 12 Mathematics 2026 Main Paper 65/5/2 · Q212 Marksprincipal_values
CBSE Class 12 Mathematics 2026 Main Paper 65/5/2 · Question 21 (Inverse Trigonometric Functions)
Evaluate \(\sin[\cos^{-1}(\cos(7\pi/6))]\).
✅ Step-by-Step Solution
Final Answer: 1/2.
- The cosine of 7π/6 is −√3/2.
- Its principal inverse cosine is 5π/6.
- Taking the sine gives 1/2.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The cosine of 7π/6 is −√3/2.
- [1 mark] Its principal inverse cosine is 5π/6.
- [0.5 marks] Taking the sine gives 1/2.
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