Connect the curve 5

Calculus Level 2

The curve of sin(ax)\sin { \left( ax \right) } is tangent to the curve of sin(x)\sin { \left( x \right) } at x=5π2x=\frac { 5\pi }{2 } .

If minimum positive value of aa can be expressed as AB\frac { A }{B } for co-prime AA and BB, then find A+BA+B.

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