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Trigonometric Functions And Equations

JEE Main 2021 (Online) 1st September Evening Shift

MCQ+4 / -12021
If n is the number of solutions of the equation
\(2\cos x\left( {4\sin \left( {{\pi \over 4} + x} \right)\sin \left( {{\pi \over 4} - x} \right) - 1} \right) = 1,x \in [0,\pi ]\) and S is the sum of all these solutions, then the ordered pair (n, S) is :

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