Resolve that cos3A-cos5A by sin3A+sin5A = tanA
2sin(5A−3A2)cos(5A+3A2)2cos(5A+3A2)cos(5A−3A2)\frac{2sin(\frac{5A−3A}{2})cos(\frac{5A+3A}{2})}{2cos(\frac{5A+3A}{2})cos(\frac{5A−3A}{2})}2cos(25A+3A)cos(25A−3A)2sin(25A−3A)cos(25A+3A)
sinAcosA\frac{sinA}{cosA}cosAsinA
tanAtanAtanA
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