SOLUTION: Find all solutions of each equation on the interval(0, 2pi) Sec^2 x + 2tan x = 0

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Question 971377: Find all solutions of each equation on the interval(0, 2pi)
Sec^2 x + 2tan x = 0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find all solutions of each equation on the interval(0, 2pi)
Sec^2 x + 2tan x = 0
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%281%2Fcos%5E2%28x%29%29%2B%282sinx%2Fcosx%29=0
lcd: cos^2(x)
1%2B%282sinxcosx%29=0
1%2Bsin%282x%29=0
sin(2x)=1
2x=π/2
x=π/4