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MathNet 2016-part-01 — 184 problems (EN–VI) Question 64

Math Olympiad Vault · MathNet 2016-part-01 — 184 problems (EN–VI)

Question 64

Find all real solutions of the equation
$$
\frac{(x + y)(2 - \sin(x + y))}{4 \sin^2(x + y)} = \frac{xy}{x + y}.
$$