Let the function \(f:(0, \pi) \rightarrow R\) be defined by\[f(\theta)=(\sin \theta+\cos \theta).... VIDEO
Let the function \(f:(0, \pi) \rightarrow R\) be defined by\[f(\theta)=(\sin \theta+\cos \theta)^2+(\sin \theta-\cos \theta)^4\]Suppose the function \(f\) has a local minimum at \(\theta\) precisely when \(\theta \in\left\{\lambda_1 \pi, \ldots, \lambda_{ r } \pi\right\}\), where \(0<\lambda_1<\ldots<\lambda_{ r }<1\). Then the value of \(\lambda_1+\ldots+\lambda_{ r }\) is ____ . 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live
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