This is for my trig class. Thanks for the help!
Simplify sec^2x + csc^2x / csc^2x(1+tan^2x)
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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 )
sec2x + csc2x / csc2x(1+tan2x) = sec2x +1/(1+tan2x) = sec2x +1/sec2 x = sec2 x + cos2 x