If A=[\table cos2\theta,-sin2\theta;sin2\theta,cos2\theta] and \A+\A^\T=\I, where I is the unit matrix of 2 × 2 & \A^\T is the transpose of A, then the value of θ is equal to

KCET 2016 Math Solved Paper

Question : 52 of 60

Marks: +1, -0

If A=[

cos2θ	−sin2θ
sin2θ	cos2θ

] and A+AT=I,
where I is the unit matrix of 2 × 2 & AT is the transpose of A, then the value of θ is equal to

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cos‌2‌θ	−sin‌2‌θ
sin‌2‌θ	cos‌2‌θ

cos‌2‌θ	sin‌2‌θ
−sin‌2‌θ	cos‌2‌θ

2‌cos‌2‌θ	0
0	2‌cos‌2‌θ