Calc 1 Trig Derivatives, Integrals, Inverses

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)

∫ sin(x)

-cos(x) + C

∫ cos(x)

sin(x) + C

∫ tan(x)

-ln|cos(x)| + C

∫ cot(x)

ln|sin(x)| + C

∫ sec(x)

ln|sec(x) + tan(x)| + C

∫ csc(x)

-ln|csc(x) + cot(x)| + C

d/dx sin^-1(x)

(x) = 1/√(1-x²)

d/dx cos^-1(x)

(x) = -1/√(1-x²)

d/dx tan^-1(x)

(x) = 1/(1+x²)

d/dx cot^-1(x)

(x) = -1/(1+x²)

d/dx sec^-1(x)

(x) = 1/(|x|√(x²-1))

d/dx csc^-1(x)

(x) = -1/(|x|√(x²-1))