Trigonometry! #3

Geometry Level 5

A(0,90)A \in \left(0,90^{\circ}\right). Let 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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