Trigonometry Test 3 Flashcards by Agent JL | Brainscape

Q

Reciprocal Identities
sin θ =

A

1/csc θ

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Q

Reciprocal Identities
cos θ =

A

1/sec θ

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Q

Reciprocal Identities
tan θ =

A

1/cot θ

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Q

Ratio and Quotient Identities
tan θ=

A

sin θ/cos θ

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Q

Ratio and Quotient Identities
cot θ=

A

cos θ/sin θ

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Q

Pythagorean Identity
sin²θ+cos²θ =

A

1

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Q

Pythagorean Identity
1+tan²θ=

A

sec²θ

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Q

Pythagorean Identity
1+cot²θ=

A

csc²θ

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Q

cofunction Identities
sin (90°-θ)=

A

cos θ

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Q

cofunction Identities
cos (90°-θ)

A

sin θ

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Q

cofunction Identities
tan (90°-θ)

A

cot θ

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Q

cofunction Identities
sec (90°-θ)

A

csc θ

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Q

cofunction Identities
csc (90°-θ)

A

sec θ

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Q

cofunction Identities
cot (90°-θ)

A

tan θ

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Q

odd identities
sin (-θ) =

A

sin θ

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Q

odd identities
sin (-θ) =

A

sin θ

Q

odd identities
tan (-θ)

A

tan θ

Q

odd identities
cot (-θ)

A

-cot θ

Q

odd identities
csc -θ

A

-csc θ

Q

even identities
cos (-θ)

A

cos θ

Q

even identities
sec (-θ)

A

sec θ

Q

sum and difference identities
sin (a+b)

A

sin a cos b + cos a sin b

Q

sum and difference identities
sin (a-b)

A

sin a cos b - cos a sin b

Q

sum and difference identities
cos (a+b)

A

cos a cos b - sin a sin b

Q

sum and difference identities
cos (a-b)

A

cos a cos b + sin a sin b

Q

sum and difference identities
tan (a+b)

A

tan a + tan b/ 1 - tan a tan b

Q

sum and difference identities
tan (a-b)

A

tan a - tan b/1+ tan a tan b

Q

double angle identities
sin (2a)

A

2 sin a cos a

Q

double angle identities
cos (2a)

A

cos²a-sin²a
1-2sin²a
2cos²a-1

Q

double angle identities
tan (2a)

A

2 tan a/ 1-tan²a

Q

half angle identities
sin a/2

A

+-√1-cos a/2

Q

half angle identities
cos a/2

A

+-√1+cos a/2

Q

half angle identities
tan a/2

A

=+-√1-cos a/1+cos a
=sin a/1+cos a
= 1-cos/ sin a

Q

power reduction formula
sin²a

A

1-(cos2a)/2

Q

power reduction formula
cos²a

A

1+cos (2a)/2

Q

power reduction formula
tan²a

A

1-cos(2a)/1+cos(2a)