SOLUTION: please please please solve for x: sec^2 pi x = 4/pi

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Question 641861: please please please solve for x:
sec^2 pi x = 4/pi
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
solve for x:
sec^2 pi x = 4/pi
sec^2 πx = 4/π
take sqrt of both sides
sec(πx)=±2/√π
1/cos(πx)=±2/√π
2cos(πx)=±√π
cos(πx)=±√π/2
πx=arccos(±√π/2)≈.4816
x=.48166/π≈.1533 radians