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d/dx sin(x)
cos(x)
d/dx cos(x)
-sin(x)
d/dx tan(x)
sec2(x)
d/dx csc(x)
-csc(x)cot(x)
d/dx sec(x)
sec(x)tan(x)
d/dx cot(x)
-csc²(x)

integral of sin(x)
cos(x) + C

integral of cos(x)
-sin(x) + C

integral of sec²(x)
tan(x) + c

integral of csc²(x)
-cot(x) + C

integral of sec(x)tan(x)
sec(x) + C

integral of csc(x)cot(x)
-csc(x) + C

integral of tan(x)
ln|sec(x)| + C

integral of cot(x)
-ln|csc(x)| + C