Trig Identities / Antiderivatives and derivatives

d/dx [sinx]

cosx

d/dx [cosx]

-sinx

d/dx [tanx]

sec²x

d/dx [secx]

secxtanx

d/dx [cotx]

-csc²x

d/dx [cscx]

-cscxcotx

∫cosxdx

sinx + C

∫sinxdx

-cosx + C

∫sec²xdx

tanx + C

∫secxtanxdx

secx + C

∫csc²xdx

-cotx + C

∫cscxcotxdx

-cscx + C

What is the reciprocal identity of cscθ?

1 / sinθ

What is the reciprocal identity of secθ?

1 / cosθ

What is the reciprocal identity of cotθ?

1 / tanθ

sin²θ + cos²θ = 1

Pythagorean Identity #1

sec²θ = 1 + tan²θ

Pythagorean Identity #2

csc²θ = 1 + cot²θ

Pythagorean Identity #3

Square root of a² - x²

x = a x sinθ

Square root of x² - a²

x = a x secθ

Square root of x² + a²

x = a x tanθ