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[tex]\frac{sin 15}{sin 5} - \frac{cos15}{cos5} =[/tex]
sin15*cos5-cos15*sin5 sin(15-5) sin10 2sin10
--------------------------------- = ---------------- = -------------- = ---------------- = 2
sin5*cos5 1/2*sin10 1/2sin10 sin10
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sin15*cos5-cos15*sin5 sin(15-5) sin10 2sin10
--------------------------------- = ---------------- = -------------- = ---------------- = 2
sin5*cos5 1/2*sin10 1/2sin10 sin10