SOLUTION: exact value of sec^2(x)+tan(x)=1

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Question 851369: exact value of sec^2(x)+tan(x)=1
Answer by lwsshak3(11628) About Me  (Show Source):
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exact value of sec^2(x)+tan(x)=1
For: [0,2π)
Identity: sec^2(x)=1+tan^2(x)
1+tan^2(x)+tan(x)=1
tan^2(x)+tan(x)=0
tan(x)(tan(x)+1)=0
tan(x)=0
x=0, π
or
tan(x)+1=0
tan(x)=-1
x=5π/4, 7π/4