Compute A2 entry-wise:
(1,1):cos22θ−sin22θ=cos4θ.
(1,2):2sin2θcos2θ=sin4θ.
(2,1):−2sin2θcos2θ=−sin4θ.
(2,2):cos4θ. Result matches option 1.
If A = …, then A^2 =
CUET UG 2023 — Mathematics Algebra
2023mcqmedium
If A=(cos2θ−sin2θsin2θcos2θ), then A2=
Official previous-year question
Held on 22 May 2023 · Verified 13 Jul 2026.
Options
- A
(cos4θ−sin4θsin4θcos4θ)
- B
(cos22θsin22θsin22θcos22θ)
- C
(1sin2θ0cos2θ)
- D
(cos6θ−sin6θsin6θcos6θ)
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