CBSE Class 12 Mathematics 2026 Main Paper 65/2/1 · Q41 Markstranspose
CBSE Class 12 Mathematics 2026 Main Paper 65/2/1 · Question 4 (Matrices)
For A=[[cos x,−sin x],[sin x,cos x]], solve A+Aᵀ=I for x in [0,π/2].
✅ Step-by-Step Solution
Final Answer: π/3
- The off-diagonal entries cancel, leaving 2 cos x times I. Thus cos x=1/2 and x=π/3.
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