Prove that csc x - cot x is the same as (sin x)/(1 + cos x)

Chamberlin wants to bottle 1\8 of her apple cider. she pours the apple cider evenly among 6 bottles. what fraction of her apple cider will she put in each bottle? what expression could represent this situation?

Write the linear inequality shown in the graph. the gray area represents the shaded region. y> -3y+5 y> 3x-5 y< -3x+5 y< 3x-5

The table represents a function. what is f(-2)? a.-3 b. -1 c.1 d.3