Calculus II Trig Identities

derivative of tan(x)

sec²(x)

derivative of tan²(x)

2tan(x)sec²(x)

derivative of sin(x)

cos(x)

derivative of cos(x)

-sin(x)

derivative of sin²(x)

2sin(x)cos(x)

derivative of csc²(x)

-2cot(x)csc²(x)

derivative of csc(x)

-cot(x)csc(x)

derivative of sec(x)

sec(x)tan(x)

derivative of sec²(x)

2tan(x)sec²(x)

derivative of cos²(x)

-2sin(x)cos(x)

derivative of cot²(x)

-2cot(x)csc²(x)

derivative of cot(x)

-csc²(x)

derivative of ln(x)

1/x

√(x)

1/2√(x)

sec²Θ = ?

tan²Θ + 1

cos²Θ + sin²Θ = ?

1

tan²Θ = ?

sec²Θ - 1

sin(2x) = ?

2sin(x)cos(x)

cos(2x) = ?

2cos²(x) - 1

or

1 - 2sin²(x)

cos²(x) = ?

(1+cos(2x))/2

sin²(x) = ?

(1 - cos(2x))/2

1 + cot²(x)

csc²(x)

cot²(x)

csc²(x) - 1

∫cos(x)dx

sin(x) + C

∫sin(x)dx

-cos(x) + C

∫sec²(x)dx

tan(x) + C

∫csc²(x)dx

-cot(x) + C

∫sec(x)tan(x)dx

sec(x) + C

∫csc(x)cot(x)dx

-csc(x) + C

∫tan(x)dx

ln|sec(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

∫(1/x)dx

ln|x| +C

∫e^x dx

e^x + C

√(a²-x²)

asinΘ

√(x²+a²)

atanΘ

√(x²-a²)

asecΘ