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Find the solution of the equation ( sin...

Find the solution of the equation ` ( sin x + cos x ) sin 2 x =a(sin^(3) x + cos^(3) x)` located between `(pi)/(2)` and `pi ` and for which values of 'a' does this equation have at most one solution satisfying the condition `(pi)/(2) le x le pi `.

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