SOLUTION: Find all the solutions of the equation in the interval [0,2pi] sec^2 x + tan x=1

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Question 1108590: Find all the solutions of the equation in the interval [0,2pi]
sec^2 x + tan x=1

Answer by Alan3354(69443) About Me  (Show Source):
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Find all the solutions of the equation in the interval [0,2pi]
sec^2 x + tan x=1
tan^2+1 + tan = 1
tan^2 + tan = 0
tan*(tan+1) = 0
tan = 0 --> 0, pi, 2pi
tan = -1 --> 3pi/4, 7pi/4