JEE Advanced 2022 Paper 2 Mathematics Q1

Mathematics

Problem

Let α and β be real numbers such that −π/4<β<0<α<π/4. If sin(α+β)=1/3 and cos(α−β)=2/3, then the greatest integer less than or equal to (sinα/cosβ + cosβ/sinα + cosα/sinβ + sinβ/cosα)² is _____________.

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