derivatives & antiderivatives of trig functions & inverse 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

d/dx csc x

-csc x cot x

d/dx sin^-1 x

1/(√1-x²)

d/dx tan^-1 x

1/(1+x²)

∫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

∫csc²(x) dx

-cot(x) + C

∫csc(x) cot(x) dx

-csc(x) + C