Important Calculus Trigonemetric Formulas, Derivatives and Integrals

d/dx sin(x)

cos(x)

d/dx cos(x)

-sin(x)

d/dx tan(x)

sec²(x)

d/dx sec(x)

tan(x)sec(x)

d/dx cot(x)

-csc²(x)

d/dx csc(x)

-cot(x)csc(x)

∫cos(x)dx

sin(x) + C

∫sin(x)dx

-cos(x) + C

∫tan(x)dx

-ln|cos(x)| + C

∫sec(x)dx

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

∫csc(x)dx

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

∫cot(x)dx

ln|sin(x)| + C

∫du/x√x²-a²

(1/a)arcsec(|x|/a) + C

∫du/√a²-x²

arcsin(u/a) + C

∫du/a²+x²

(1/a)arctan(x/a) + C

sin²(x)

1-cos(2x)/2

cos²(x)

1+cos(2x)/2

sin(2x)

2sin(x)cos(x)

cos(2x)

1-2sin²(x) or 2cos²(x)-1

d/dx sin⁻¹(x)

1/√(1-x²)

d/dx csc⁻¹(x)

-1/(|x|√(x²-1))

d/dx tan⁻¹(x)

1/(1+x²)

d/dx cot⁻¹(x)

-1/(1+x²)