Trig Identities Flashcards

1
Q

cos^2(θ) + sin^2(θ)

A

1

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2
Q

cos(x+y)

A

(cos x)(cos y) - (sin x)(sin y)

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3
Q

sin(x+y)

A

(sin x)(cos y) + (sin y)(cos x)

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4
Q

cos(2θ)

A

cos^2(θ) - sin^2(θ)

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5
Q

sin(2θ)

A

2(sin θ)(cos θ)

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6
Q

Chain Rule

A

f’(g(x)) * g’(x)

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7
Q

lim sin x

x->0 x

A

1

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8
Q

lim cos x - 1

x->0 x

A

0

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9
Q

f(x) = sin (x)

A

f’(x) = cos (x)

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10
Q

f(x) = cos (x)

A

f’(x) = -sin (x)

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11
Q

f(x) = tan (x)

A

f’(x) = sec^2 (x)

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12
Q

f(x) = cot (x)

A

f’(x) = -csc^2 (x)

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13
Q

f(x) = sec (x)

A

f’(x) = sec (x) * tan (x)

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14
Q

f(x) = csc (x)

A

f’(x) = -csc (x) * cot (x)

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15
Q

Product Rule

A

f’(x) * g(x) + g’(x) * f(x)

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16
Q

Quotient Rule

A

(Low Dee High) - (High Dee Low)

Over the Square of What’s Below

17
Q

Power Rule

A

x^n = nx^n-1

18
Q

f(x) = √x

A

f’(x) = 1/2√x

19
Q

f(x) = 1/x

A

f’(x) = x^-2

20
Q

(c * f) =

A

c * f’

21
Q

lim e^x

x -> ∞

A

0 (if n is positive)

22
Q
lim        arctan(x)
x-> ∞
A

pi/2