Find the value of sin615∘+sin675∘+6sin215∘sin275∘sin415∘+sin475∘+5sin215∘sin275∘\frac{\sin^{6}15^{\circ} + \sin^{6}75^{\circ} + 6\sin^{2}15^{\circ}\sin^{2}75^{\circ}}{\sin^{4}15^{\circ} + \sin^{4}75^{\circ} + 5\sin^{2}15^{\circ}\sin^{2}75^{\circ}}sin415∘+sin475∘+5sin215∘sin275∘sin615∘+sin675∘+6sin215∘sin275∘
sin15∘+sin75∘\sin 15^{\circ} + \sin 75^{\circ}sin15∘+sin75∘
65\frac{6}{5}56
1
sin15∘cos15∘\sin 15^{\circ} \cos 15^{\circ}sin15∘cos15∘
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