Problem

Problem

Find the exact value of the expression T=sin⁡40∘sin⁡80∘+sin⁡80∘sin⁡20∘−sin⁡20∘sin⁡40∘T = \frac{\sin 40^\circ}{\sin 80^\circ} + \frac{\sin 80^\circ}{\sin 20^\circ} - \frac{\sin 20^\circ}{\sin 40^\circ}

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