AP Pre-Calc Formulas

SINx =

1/CSCx

CSCx =

1/SINx

COSx =

1/SECx

SECx =

1/COSx

TANx =

1/COTx

COTx =

1/TANx

sin²x + cos²x =

1

1 + cot²x =

csc²x

tan²x + 1 =

sec²x

sin(2θ) =

2sinθcosθ

cos(2θ) =

cos²θ - sin²θ

sin(A + B) =

sinAcosB + sinBcosA

sin(A - B) =

sinAcosB - sinBcosA

cos(A + B) =

cosAcosB - sinAsinB

cos(A - B) =

cosAcosB + sinAsinB

arc length formula

S = rθ

(convert rectangular to polar, write root()) r =

root(x²+y²)

(convert polar to rectangular, write inverse tangent()) θ =

inverse tangent(y/x)

period for sin/cos functions

2pi

period for tangent functions

pi

2pi/b =

period

2pi/period =

b

y - y₁ = m(x - x₁), what formula is this?

point-slope form