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d/dx [tan x] =
sec²x
d/dx [sec x] =
sec x * tan x
d/dx [cot x] =
-csc²x
d/dx [csc x] =
-csc x * cot x
sec²x =
1 + tan²x
sin²x + cos²x =
1
1+cot²x =
csc²x