Trig Functions & Identities

tangent

sin/cos

cotangent

cos/sin

(1/tan)

Double Sin

sin2A = 2sinAcosA

Double Cos

cos2A = cos²A-sin²A

Double Tan

tan2A = 2tanA/1-tan²A

Cos sub

cos(A-B) = cosAcosB+sinAsinB

sine

y

cos

x

secant

1/cos

cosecant

1/sin

1st Rule

sin²x + cos²x = 1

2nd Rule

1 + tan²x = sec²x

3rd Rule

1 + cot²x = csc²x

Sin add

sin(A+B) = sinAcosB+cosAsinB

Sin sub

sin(A-B) = sinAcosB-cosAsinB

Cos add

cos(A+B) = cosAcosB-sinAsinB

Tan add

tan(A+B) = tanA+tanB/1-tanAtanB

Tan sub

tan(A-B) = tanA-tanB/1+tanAtanB

Unit Circle Angles

1/2, √3/2

√2/2, √2/2

√3/2, 1/2

Still learning (6)

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Cofunction Relationships: sin θ

sin θ = cos (90° - θ)

Cofunction Relationships: cos θ

cos θ = sin (90° - θ)

Cofunction Relationships: tan θ

tan θ = cot (90° - θ)

Cofunction Relationships: cot θ

cos θ = tan(90° - θ)

Cofunction Relationships: sec θ

sec θ = csc (90° - θ)

Cofunction Relationships: csc θ

csc θ = sec (90° - θ)

sin (-θ)

-sin θ

cos (-θ)

cos θ

csc (-θ)

-csc θ

sec (-θ)

sec θ

tan (-θ)

-tan θ

cot (-θ)

-cot θ