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A∈(0,90∘)A \in \left(0,90^{\circ}\right)A∈(0,90∘). Let E=(cos(3A)−cos(9A))(sin(9A)−sin(3A)) E = (\cos(3A) - \cos (9A))(\sin(9A) - \sin(3A))E=(cos(3A)−cos(9A))(sin(9A)−sin(3A)). The smallest integral value (in degrees) of A for which E is negative equals
This problem is part of the set Trigonometry.
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