Question

 frac{sin 2t - 2 sin t}{cos t - 1}[/tex]

Answer 1

$displaystyle frac{sin 2t - 2 sin t}{cos t - 1} = frac{2 sin t cos t - 2 sin t}{cos t - 1} = frac{2 sin t (cos t - 1)}{cos t - 1} = 2 sin t$

Answer 2

$frac{sin 2t - 2 sin t}{cos t - 1} = frac{2sintcost-2sint}{cost-1}=frac{2sint(cost-1)}{cost-1}=2sint$