Trig Derivatives & Integrals

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)

d/dx [sin(x)]

cos(x)

d/dx [cos(x)]

-sin(x)

lim (1-cos(x))/x

x →0

0

lim (sin(x))/x

x→0

1

∫ cos(x) dx

sin(x) + C

∫ sin(x) dx

-cos(x) + C

∫ sec²(x) dx

tan(x) + C

∫ sec(x)tan(x) dx

sec(x) + C

∫ csc(x)cot(x) dx

-csc(x) + C

∫ csc²(x)

-cot(x) + C