SOLUTION: How do I sovle the following equation? sin(x)+cos(x)= 1/cos(x)

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Question 444343: How do I sovle the following equation?
sin(x)+cos(x)= 1/cos(x)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
How do I sovle the following equation?
sin(x)+cos(x)= 1/cos(x
..
0 < x < 90 deg
sin(x)+cos(x)= 1/cos(x
sinxcosx+cos^2x=1
sinxcosx+1-sin^2x=1
sinx(cosx-sinx)=0
sinx=0
x=0
..
cosx-sinx=0
cosx=sinx
sinx/cosx=1
tanx=1
x=45 deg
ans:
x=0 and 45 deg