If sin2θ1+sin2θ2+⋅⋅⋅+sin2θ104=0 where θi∈[0,π], i=1,2,... – InterviewSolution

1.	If sin2θ1+sin2θ2+⋅⋅⋅+sin2θ104=0 where θi∈[0,π], i=1,2,...,104, then the different sets of values of (θ1,θ2,θ3,⋯,θ104) for which cosθ1+cosθ2+⋯+cosθ104=100 is
Answer» If ${sin}^{2} θ_{1} + {sin}^{2} θ_{2} + \cdot \cdot \cdot + {sin}^{2} θ_{104} = 0$ where $θ_{i} \in [0, π], i = 1, 2, . . ., 104$ , then the different sets of values of $(θ_{1}, θ_{2}, θ_{3}, \dots, θ_{104})$ for which $cos θ_{1} + cos θ_{2} + \dots + cos θ_{104} = 100$ is

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