trig identities

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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


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