Vertify the identities, clearly show each step (vertify one side that they are equal to each other)

sec^2+csc^2=sec^2+csc^2

Please check your question.

The left-hand side is already identical to the right-hand side.

If the question was
sec^2+csc^2=sec^2 csc^2
then you only have to add the left-hand side together:
sec^2+csc^2
=(sin^2+cos^2)/(cos^2 sin^2)
=1/(cos^2 sin^2)
=sec^2 csc^2