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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)