AP Calculus "The Basics" Quiz Flashcards by Jane Baymar | Brainscape

Q

Quotient: tanθ

A

sinθ/cosθ

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Q

Quotient: 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

Pythagorean Identities

A

sin^2θ + cos^2θ = 1
sec^2θ - tan^2θ = 1
csc^2θ - cot^2θ = 1

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Q

d/dx(sin x)

A

cos x

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Q

d/dx(cos x)

A

-sin x

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Q

d/dx(tan x)

A

sec^2 x

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Q

d/dx(csc x)

A

-csc x cot x

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Q

d/dx(sec x)

A

sec x tan x

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Q

d/dx(cot x)

A

-csc^2 x

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Q

d/dx(e^x)

A

e^x

Q

d/dx log (x)
a

A

1/(x ln(a))

Q

d/dx ln(x)

A

1/x

Q

d/dx(sin^-1)

A

1/sqrt(1-x^2)

Q

d/dx(cos^-1)

A

-1/sqrt(1-x^2)

Q

d/dx(tan^-1)

A

1/(1+x^2)

Q

d/dx(csc^-1)

A

-1/|x|sqrt(x^2 - 1)

Q

d/dx(sec^-1)

A

1/|x|sqrt(x^2 - 1)

Q

d/dx(cot^-1)

A

-1/(1+x^2)

Q

sin2θ

A

2sinθcosθ

Q

cos2θ

A

cos^2θ-sin^2θ
2cos^2θ-1
1-2sin^2θ

Q

tan2θ

A

(2tanθ)/(1-tan^2θ)