Chapter 5 Flashcards by Lauren Bryan | Brainscape

Q

tanθ

A

sinθ/cosθ

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Q

cotθ

A

cosθ/sinθ

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Q

sinθ

A

1/cscθ

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Q

cosθ

A

1/secθ

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Q

tanθ

A

1/cotθ

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Q

cscθ

A

1/sinθ

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Q

secθ

A

1/cosθ

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Q

cotθ

A

1/tanθ

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Q

1

A

sin²θ + cos²θ

sec²θ - tan²θ

csc²θ - cot²θ

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Q

sin[(π/2) - θ]

A

cosθ

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Q

cos[(π/2) - θ]

A

sinθ

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Q

tan[(π/2) - θ]

A

cotθ

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Q

csc[(π/2) - θ]

A

secθ

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Q

sec[(π/2) - θ]

A

cscθ

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Q

cot[(π/2) - θ]

A

tanθ

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Q

sin(-θ)

A

-sinθ

Q

cos(-θ)

A

cosθ

Q

tan(-θ)

A

-tanθ

Q

csc(-θ)

A

-cscθ

Q

sec(-θ)

A

secθ

Q

cot(-θ)

A

-cotθ

Q

Verifying trigonometric identities

A

work with one side at a time
factor, add fractions, square a binomial
fundamental identities
convert all to sin cos
try something

Q

sin(x+-y)

A

sinxcosy +- sinycosx

Q

cos(x+-y)

A

cosxcosy -+ sinxsiny

Q

tan(x+-y)

A

tanx+-tany / 1 -+ tanxtany

Q

2x

A

(x + x)

Q

sin2x

A

2sinxcosx

Q

cos2x

A

cos²x - sin²x

2cos² - 1

1 - 2sin²x

Q

tan2x

A

2tanx / 1 - tan²x

Q

sin²x

A

1-cos2x/2

Q

cos²x

A

1+cos2x/2

Q

tan²x

A

1-cos2x/1+cos2x

Q

sinx/2

A

+-√1-cosx/2

sign depends on the quadrant u/2 lies in

Q

cosx/2

A

+-√1+cosx/2

sign depends on the quadrant u/2 lies in

Q

tanx/2

A

1-cosx/sinx = sinx/1+cosx

Q

Quadratic formula

A

-b±√b²-4ac/2a