How do you graph to solve the equation on the interval [-2pi,2pi] for cscx=sqrt2?

1 Answer
Somebody N.
Nov 13, 2017

See below.

Explanation:

enter image source here

Since you will be graphing y=csc(x) this is the same as y=1/cosx

Notice from the graph that the vertical lines are asymptotes. This is because y=1/cosx is undefined anywhere cosx=0.

( this results in division by zero ).

Graph the line y = sqrt(2) on the same plot. Where y=sqrt(2) cuts the curves, not the asymptotes, are the solutions to cscx=sqrt(2). It's very difficult to get accurate solutions from a graph though.

Related questions
See all questions in Graphing Tangent, Cotangent, Secant, and Cosecant
Impact of this question
7964 views around the world
You can reuse this answer
Creative Commons License