Calculus II: Trig Rules

d/dx[sin(x)] = ?

cos(x)

D/dx[cos(x)] = ?

-sin(x)

D/dx[tan(x)] = ?

sec² (x)

D/dx[sec(x)] = ?

sec(x)tan(x)

D/dx[csc(x)] = ?

-csc(x)cot(x)

D/dx[cot(x)] = ?

-csc²x

Integral of cos(x)?

sin(x) + c

Integral of sin(x)?

-cos(x) + c

Integral of tan(x)?

ln|sec(x)| + c

Integral of sec(x)?

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

Integral of sec²(x)?

tan(x) + c

Integral of csc(x)?

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

Integral of csc²(x)?

-cot(x) + c

Integral of csc(x)cot(x)?

-csc(x) + c

Integral of sec(x)tan(x)?

sec(x) + c

Integral of cot(x)?

ln|sin(x)| + c

Reciprocal Identities: sin(x) = ?

1/csc(x)

Reciprocal Identities: cos(x) = ?

1/sec(x)

Reciprocal Identities: tan(x) = ?

1/cot(x)

Quotient Identities: tan(x) = ?

sin(x) / cos(x)

Quotient Identities: cot(x) = ?

cos(x) / sin(x)

Pythagorean Identity #1

sin²(x) + cos²(x) = 1

Pythagorean Identity #2

1 + tan²(x) = sec²(x)

Pythagorean Identity #3

1 + cot²(x) = csc²(x)