How do you graph #y=-cscx#?

1 Answer

Answer:

Draw #y=cscx#, then flip flop the graph around the x-axis

Explanation:

Let's start with the graph of #y=cscx#:

graph{cscx [-6.30, 3.6.30, -10, 10]}

The scale of the graph is set to run from #-2pi# to #2pi#. The asymptotes are at #npi# (where n is an integer), #y=1# at #x=pi/2+-n2pi# and #y=-1# at #x=(3pi)/2+-n2pi#.

With the addition of the negative sign, we'll be making positive y values negative and negative ones positive, so in essence we'll flip-flop the graph around the x-axis:

graph{-cscx [-6.30, 3.6.30, -10, 10]}