Derivatives and Integrals of Basic Trig Functions

d/dx [sin(x)]

cos(x)

d/dx [cos(x)]

−sin(x)

d/dx [tan(x)]

sec²(x)

d/dx [cot(x)]

−csc²(x)

d/dx [sec(x)]

sec(x)·tan(x)

d/dx [csc(x)]

−csc(x)·cot(x)

∫ cos(x) dx

sin(x) + C

∫ −sin(x) dx

cos(x) + C

∫ sec²(x) dx

tan(x) + C

∫ −csc²(x) dx

cot(x) + C

∫ sec(x)·tan(x) dx

sec(x) + C

∫ −csc(x)·cot(x) dx

csc(x) + C