AP Calc BC Trig Derivatives and More

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)dx

-cos(x) + C

∫cos(x)dx

sin(x) + C

∫tan(x)

-ln|cos(x)| + C

∫cot(x)dx

ln|sin(x)| + C

∫sec(x)dx

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

∫csc(x)dx

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

sin²(x)+cos²(x)

1

tan²(x)+1

sec²(x)

1+cot²(x)

csc²(x)

sin²(x)

1/2(1-cos(2x))

cos²(x)

1/2(1+cos(2x))

sin(a)sin(b)

1/2[cos(a-b) - cos(a+b)]

cos(a)cos(b)

1/2[cos(a-b) + cos(a+b)]

sin(a)cos(b)

1/2[sin(a+b) + sin(a-b)]