Key Equations

Key Equations

arc length s=rθ s=rθ
area of a sector A= 1 2 θ r 2 A= 1 2 θ r 2
angular speed ω= θ t ω= θ t
linear speed v= s t v= s t
linear speed related to angular speed v=rω v=rω
Cosine cost=x cost=x
Sine sint=y sint=y
Pythagorean Identity cos 2 t+ sin 2 t=1 cos 2 t+ sin 2 t=1
Tangent function tant= sint cost tant= sint cost
Secant function sect= 1 cost sect= 1 cost
Cosecant function csct= 1 sint csct= 1 sint
Cotangent function cott= 1 tant = cost sint cott= 1 tant = cost sint
Cofunction Identities cost=sin( π 2 −t ) sint=cos( π 2 −t ) tant=cot( π 2 −t ) cott=tan( π 2 −t ) sect=csc( π 2 −t ) csct=sec( π 2 −t ) cost=sin( π 2 −t ) sint=cos( π 2 −t ) tant=cot( π 2 −t ) cott=tan( π 2 −t ) sect=csc( π 2 −t ) csct=sec( π 2 −t )