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Problem The value of θ \theta θ 0 < θ < π 2 0<\theta<\frac{\pi}{2} 0 < θ < 2 π ∣ 1 + cos 2 θ sin 2 θ 4 sin 4 θ cos 2 θ 1 + sin 2 θ 4 sin 4 θ cos 2 θ sin 2 θ 1 + 4 sin 4 θ ∣ = 0 \begin{vmatrix}1+\cos^2\theta & \sin^2\theta & 4\sin4\theta\\\cos^2\theta & 1+\sin^2\theta & 4\sin4\theta\\\cos^2\theta & \sin^2\theta & 1+4\sin4\theta\end{vmatrix}=0 1 + cos 2 θ cos 2 θ cos 2 θ sin 2 θ 1 + sin 2 θ sin 2 θ 4 sin 4 θ 4 sin 4 θ 1 + 4 sin 4 θ = 0 11 π 24 \frac{11\pi}{24} 24 11 π 7 π 24 \frac{7\pi}{24} 24 7 π 5 π 24 \frac{5\pi}{24} 24 5 π Browse the problem library