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sin²x
=1-cos²x
or
(1-cos2x)/2
cos²x
= 1-sin²x
or
(1+cos2x)/2
sec²x
=1+tan²x
tan²x
=sec²x-1
csc²x
=1+cot²x
1
= sin²x+cos²x
or
sec²x-tan²x
or
csc²x-cot²x
antiderivative of secx
lnlsecx+tanxl + C
antiderivative of cscx
-lnlcscx+cotxl +C
antiderivative of lnx
xlnx-x
antiderivative of tanx
-ln|cosx| + C