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.

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