Teaching AWES Army Public School TGT Mock Test 2024 Mathematics Determinants Evaluation of Determinants
A value of θ in \(\left(0, \frac{\pi}{2}\right)\) and satisfying \(\left|\begin{array}{ccc}1+\sin ^2 θ & \cos ^2 θ & 4 \sin 4 θ \\ \sin ^2 θ & 1+\cos ^2 θ & 4 \sin 4 θ \\ \sin ^2 θ & \cos ^2 θ & 1+4 \sin 4 θ\end{array}\right|=0\) is
1
\(\frac{\pi}{4}\)
2
\(\frac{\pi}{3}\)
3
\(\frac{5 \pi}{24}\)
4
\(\frac{7 \pi}{24}\)