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

This is for my trig class. Thanks for the help!

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Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
0
 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 )
Roman C. | Masters of Education Graduate with Mathematics ExpertiseMasters of Education Graduate with Mathe...
4.9 4.9 (350 lesson ratings) (350)
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sec2x + csc2x / csc2x(1+tan2x) = sec2x +1/(1+tan2x) = sec2x +1/sec2 x = sec2 x + cos2 x