Trigonometry

Geometry Level 3

Let AA and BB be angles in the interval 0<A,B<450^\circ < A,B < 45^\circ. If cos(A+B)=45\cos(A+ B) = \dfrac45 and sin(AB)=513\sin(A-B) = \dfrac5{13} , find the value of tan2A\tan2A.

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