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This is a pseudo-answer intended to provide the original query, Ramanujan's answer, and then my answer. The idea is to allow reviewers of this meta-query to make an informed decision whether or not my answer was appropriate. Still missing Ramunajan's answer ........... Original Query Find real solutions of $3 \cos(x) + 4\sin(x) = \frac{5}{2}.$ ........... ...


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