The sum of all possible values of θ where θ∈(0,π2), satisfying th – InterviewSolution

1.	The sum of all possible values of θ where θ∈(0,π2), satisfying the equation ∣∣∣∣∣1+sin2θcos2θ4sin4θsin2θ1+cos2θ4sin4θsin2θcos2θ1+4sin4θ∣∣∣∣∣=0, is
Answer» The sum of all possible values of $θ$ where $θ \in (0, \frac{π}{2}),$ satisfying the equation $∣ ∣∣∣ ∣ \begin{matrix} 1 + {sin}^{2} θ & {cos}^{2} θ & 4 sin 4 θ {sin}^{2} θ & 1 + {cos}^{2} θ & 4 sin 4 θ {sin}^{2} θ & {cos}^{2} θ & 1 + 4 sin 4 θ \end{matrix} ∣ ∣∣∣ ∣ = 0,$ is

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