Now we see that we are looking for  or just  on  [ ,  )



 at   and  only





But  implies the original equation is undefined (look at the 2nd line from the top), thus there is .



Graphing we can see this, the zero crossings for cos(x) line up with undefined values for the other two functions:







,  ,  





 

Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!
 

Find all solutions in the interval [0, 2π). 



sec^2 x - 2 = tan^2 x



 ----- Substituting  for 

 =====>  

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