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Use a graph to solve the equation on the interval

[−2π, 2π].

(List the solutions in increasing order from left to right on the x-axis.)

sec x = sqrt 2

Verified Answer :

scme1702

In order to solve this graphically, you would construct two lines:
The first of y = √2
The second of y = sec(x)

The solutions will be the intersections over the given domain.
Solving mathematically:
sec x = √2
1/cos(x) = √2
cos (x) = 1/√2

x = -π/4 and π/4

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