Trigonometric Functions Identities Flashcards by Juliana Erika Olario

Q

sin(A+B)

A

sinAcosB+cosAsinB

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Q

cos(A+B)

A

cosAcosB-sinAsinB

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Q

tan(A+B)

A

tanA+tanB / 1-tanAtanB

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Q

sinA

Reciprocal

A

1 / cscA

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Q

cosA

Reciprocal

A

1 / secA

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Q

tanA

Reciprocal

A

1 / cotA

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Q

cotA

Reciprocal

A

1 / tanA

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Q

secA

Reciprocal

A

1 / cosA

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Q

cscA

Reciprocal

A

1 / sinA

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Q

sinθ

Cofunction

A

cos(90-θ)

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Q

cosθ

Cofunction

A

sin(90-θ)

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Q

tanθ

Cofunction

A

cot(90-θ)

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Q

cotθ

Cofunction

A

tan(90-θ)

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Q

secθ

Cofunction

A

csc(90-θ)

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Q

cscθ

Cofunction

A

sec(90-θ)

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Q

Phytagorean Identities sa trigo

A

sin²A + cos²A =1
1 + cot²A = csc²A
1 + tan²A = sec²A

Q

sin(A-B)

A

sinAcosB - cosAsinB

Q

cos(A-B)

A

cosAcosB + sinAsinB

Q

tan(A-B)

A

tanA - tanB / 1+tanAtanB

Q

sin2A

A

2sinAcosA

Q

cos2A

A

cos²A - sin²A

Q

tan2A

A

2tanA / 1-tan²A

Q

sin²A

A

1/2(1 - cos2A)

power of function

Q

cos²A

A

1/2(1 + cos2A)

Powers of functions

Q

tan²A

A

1-cos2A / 1+cos2A

Powers of functions

Q

sin A/2

A

±√(1 - cosA / 2)

Q

cos A/2

A

±√(1 + cosA / 2)

Q

tan A/2

A

1 - cosA / sin A = sinA / 1 + cosA

Q

sinA + sinB

A

2sin 1/2(A+B) cos 1/2(A-B)

Q

cosA + cosB

A

2cos 1/2(A+B) cos 1/2(A-B)

Q

tanA + tanB

A

sin(A+B) / cosAcosB

Q

sinA - sinB

A

2cos1/2(A+B) sin1/2(A-B)

Q

cosA - cosB

A

2sin 1/2(A+B) sin 1/2(A-B)

Q

tanA - tanB

A

sin(A-B) / cosAcosB

Q

2sinAsinB

A

cos(A-B) - cos(A+B)

Q

2sinAcosB

A

sin(A+B) + sin(A-B)

Q

2cosAcosB

A

cos(A+B) + cos(A-B)

Q

tanθ

quotient identity

A

sinθ / cosθ

Q

cotθ

quotient identity

A

cosθ / sinθ