SOLUTION: Find the set of values of x (in radians) for which sec(x) = sqrt(2), for x in [0, 2π].

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Question 813096: Find the set of values of x (in radians) for which sec(x) = sqrt(2), for x in [0, 2π].
Answer by lwsshak3(11628) About Me  (Show Source):
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Find the set of values of x (in radians) for which sec(x) = sqrt(2), for x in [0, 2π].
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secx=√2
cosx=1/√2=√2/2
x=π/4, 7π/4 (In quadrants I and IV where cos>0 and sec>0)