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81sin2x+81cos2x=30 \large 81^{\sin^2{x}} + 81^{\cos^2{x}} = 30 81sin2x+81cos2x=30
If AAA and BBB are the two values of x∈[0,π2]x \in \left[0, \frac{\pi}{2}\right] x∈[0,2π] such that the equation above is fulfilled, find the value of πA+B\dfrac{\pi}{A+B}A+Bπ.
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