A=r²θ

2

Circular Motion

v=rw

w must be in rad/time

v=s/t

distance travled per unit of time

w=θ/t

amount of rotation per unit of time

Area of any triangle

SAA

ASA

SSA(AMBIGIOUS)

SAS

SSS

Herons Formula

S

A=√(s(s-a)(s-b)(s-c))

S=½(a+b+c)

Odd: cos (negative dissapear)

Even: sin, tan (negative moves out front)

sin²+cos²=1

sin²/cos²+cos²/cos²=1/cos²

tan²+1=sec²

1+cot²=csc²

Cofunction Identities

sinΘ=cos(∏/2-Θ)

cosΘ=sin(∏/2-Θ)

tanΘ=cot(∏/2-Θ)

cotΘ=tan(∏/2-Θ)

secΘ=csc(∏/2-Θ)

cscΘ=sec(∏/2-Θ)

sin(x+y)=sinxcosx+cosxsiny

sin(x-y)=sinxcosy-cosxsiny

cos(x+y)=cosxcosy-sinxsiny

cos(x-y)=cosxcosy+sinxsiny

sin(2x)=2sinxcosx

cos(2x)=cos²x-sin²x

=2cos²x-1

=1-2sin²x

sin²x=(1-cos2x)/2

cos²x=(1+cos2x)/2

Sin: D=[-∏/2,∏/2],

R=[1,-1]

Sin^-1 is opposite

Cos and Cos^-1 domain, range

Cos: D=[0,∏]

R=[1,-1]

Cos^-1 is opposite

Tan: D=(-π/2,π/2)

R=all reals