trig identities
sin^2ø+cos^2ø=
1
cosx^2
1+cos2x/2
tanx^2
1-cos2x/1+cos2x
sinx^2
1-cos2x/2
cos2x
2cos^2x-1
sin2x
2sinxcosx
tan2x
2tanx/1-tan^2x
1 revolution
2π radians
sin(ø) cofunction
=cos(90-ø)
cot(ø) quotient identity
=cos(ø)/sin(ø)
tan(ø) cofunction
=cot(90-ø)
sec(ø) cofunction
=csc(90-ø)
csc(ø) cofunction
=sec(90-ø)
cos(ø) cofunction
=sin(90-ø)
tan(ø) quotient identity
=sin(ø)/cos(ø)
cot(ø) cofunction
=tan(90-ø)
even trigonometric functions
cos(-t)=cost(t) sec(-t)=sec(t)
cos(a+b)
cosAcosb-sinainb
cos(a-b)
cosacosb+ sinasinb
sine is the reciprocal of...
cosecant
secant is the reciprocal of...
cosine
tangent is the reciprocal of...
cotangent
1+cot^2(ø)=
csc^2(ø)
arc length formula
s=(ø)(π/180)(r) in degrees
1+tan^2ø=
sec^2ø
cosine is the reciprocal of...
secant
odd trigonometric functions
sin(-t)=-sin(t) cos(-t)=-cos(t) tan(-t)=-tan(t) cot(-t)=-cot(t)
pythagorean identities
sin^2(ø)+cos^2(ø)=1 1+tan^2(ø)=sec^2(ø) 1+cot^2(ø)=csc^2(ø)
sin(a+b)
sinacosB+cosasinB
sin(a-b)
sinacosb-cosasinb
cosecant is the reciprocal of...
sine
tan(a+b)
tana+tanb/1-tanatanb
tan(a-b)
tana-tanb/1+tanatanb
cotangent is the reciprocal of...
tangent