Let \(S=\left\{θ∈[0,2π]:8^{2sin^2θ}+8^{2cos^2θ}=16\right\}\) .Then\(n(S) + \sum_{\theta \in S}\left( \sec\left(\frac{\pi}{4} + 2\theta\right)\cosec\left(\frac{\pi}{4} + 2\theta\right)\right)\)is equal to :