Here's a list of Derivatives of Trig Functions:

sin'(x)=cos(x)

cos'(x)=-sin(x)

tan'(x)=sec²(x)

cot'(x)=-csc²(x)

sec'(x)=sec(x)*tan(x)

csc'(x)=-csc(x)*cot(x)

 

Notice that whatever that starts with a "c" in the name of the trig function will have a negative signs in its derivatives, and I write the formulas in this order so you can see it clearly.