Hi,

I hope someone can help. I'm trying to understand intuitively why y=cscx intersects y=secx at (pi/4, 1.414) and (pi/4, -1.414)? Can someone please explain why?

I noticed that the parent functions of both reciprocals intersect at (pi/4, 0.707) and (pi/4, -0.707). I also noticed that 1.414 = 0.707 x 2. So the x-values of their intersection points are the same, and the y-values of their intersection points are double. I don't fully know what to make of this analysis of mine, however.

I would appreciate some enlightenment on this.

Sincerely,

Olivia