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Simplify sec^2x + csc^2x / csc^2x(1+tan^2x)

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2 Answers

 SEC ^2 X + CSC^2 X ( CSC^2 X ( 1 + Tan^2 X) =
 
   1            +     1        +     1                     =
COS ^2X      Sin^4 X      Sin^2X Cos ^2X
 
 
   Sin ^4 X               +   Cos ^2 X  + Sin^2 X =
  Sin ^4 X COS ^2 X      SIN^4 X COS^2 X
 
      SEC^2 X     +  SEC^2 x  . CSC ^4 x =
 
          SEC ^2 x ( 1 + CSC 4x )