Finals Flashcards

1
Q

Pythagorean triples

A

3,4,5
5,12,13
7,24,25

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2
Q

sin^2 x + cos^2 x

A

1

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3
Q

tan^2 x + 1

A

sec^2 x

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4
Q

1 + cot^2 x

A

csc^2 x

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5
Q

sin 2 x

A

2 sin x cos x

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6
Q

cos 2 x

A

cos^2 x - sin^2 x
1 - 2 sin^2 x
2 cos^2 x - 1

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7
Q

tan 2 x

A

(2 tan x) / (1 - tan x)

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8
Q

sin 1/2 x

A

+- √(1/2 (1 - cos x))

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9
Q

cos 1/2 x

A

+- √(1/2 (1 + cox x))

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10
Q

cos (A + B)

A

cos A cos B - sin A sin B

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11
Q

sin (A + B)

A

sin A cos B + cos A sin B

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12
Q

law of cosine

A

c^2 = a^2 + b^2 - 2ab cos C

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13
Q

law of sine

A

(sin C / c) = (sin B / b) = (sin A / a)

check for second angle by 180 - [whatever angle answer you got]

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14
Q

area equation

A

1/2 bc sin A

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15
Q

loga(xy)

A

loga(x) + loga(y)

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16
Q

loga(x/y)

A

loga(x) - loga(y)

17
Q

loga(x^n)

A

n loga(x)

18
Q

loga(x)

A

y

a^y = x

19
Q

loga(b)

A

(log b / log a) = (ln b / ln a)

20
Q

loga(1)

A

0

21
Q

loga(a)

A

1

22
Q

a^(loga(x))

A

x

23
Q

loga(a^x)

A

x

24
Q

y = e^x is also

A

y = loge(x) = ln x

25
Q

ln 1 =

A

0

26
Q

ln e =

A

1

27
Q

e^(ln x)

A

x