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Math review 201 > Review of mathematic > Flashcards

Review of mathematic Flashcards

1
Q

a+a=

A

2a

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2
Q

(a^x)(a^y)=

A

a^x+y

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3
Q

a(c+d)=

A

ac+ad

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4
Q

(a+b)(a+b)=

A

a^2+ab+ab+b^2=

a^2+2ab+b^2

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5
Q

(a+b)^2=

A

(a+b)(a+b)=
a^2+ab+ab+b^2=
a^2+2ab+b^2

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6
Q

(a-b)^2=

A

(a-b)(a-b)=

a^2-2ab+b

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7
Q

(a+b)(a-b)=

A

a^2-b^2

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8
Q

(a^x)^y=

A

a^x∙y

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9
Q

(ab)^x=

A

a^x∙b^x

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10
Q

(a/b)^x=

A

(a^x) / (b^x)

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11
Q

a^0=

A

1

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12
Q

(a^x) / (a^y)=

A

a^x-y

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13
Q

a^-x=

A

1 / a^x

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14
Q

(a/b) + (c/b)=

A

(a+c) / b

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15
Q

(a/b) + (c/d)=

A

(ad)/(bd) + (cb)/(bd)=

(ad + bc) / bd

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16
Q

(a/b) - (c/b)=

A

(a-c) / b

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17
Q

(a/b) - (c/d)=

A

(ad)/(bd) - (cb)/(bd)=

(ad - bc) / bd

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18
Q

(a/b)(c/d)=

A

(ac) / (bd)

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19
Q

(a/b) / (c/d)=

A

(ad) / (bc)

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20
Q

30 degrees

A

π/6

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21
Q

45 degrees

A

π/4

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22
Q

60 degrees

A

π/3

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23
Q

90 degrees

A

π/2

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24
Q

120 degrees

A

2π/3

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25
Q

135 degrees

A

3π/4

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26
Q

150 degrees

A

5π/6

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27
Q

180 degrees

A

π

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28
Q

210 degrees

A

7π/6

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29
Q

225 degrees

A

5π/4

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30
Q

240 degrees

A

4π/3

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31
Q

270 degrees

A

3π/2

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32
Q

300 degrees

A

5π/3

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33
Q

315 degrees

A

7π/4

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34
Q

330 degrees

A

11π/6

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35
Q

360 degrees

A

2π

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36
Q

What is the formula to find the arc length?

A

s=rθ where θ is in radian

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37
Q

(x,y) points of the angle π/6

A

√3/2, 1/2

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38
Q

(x,y) points of the angle π/4

A

√2/2, √2/2

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39
Q

(x,y) points of the angle π/3

A

1/2, √3/2

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40
Q

(x,y) points of the angle π/2

A

0, 1

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41
Q

(x,y) points of the angle 2π/3

A

-1/2, √3/2

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42
Q

(x,y) points of the angle 3π/4

A

-√2/2, √2/2

43
Q

(x,y) points of the angle 5π/6

A

-√3/2, 1/2

44
Q

(x,y) points of the angle π

A

-1, 0

45
Q

(x,y) points of the angle 7π/6

A

-√3/2, -1/2

46
Q

(x,y) points of the angle 5π/4

A

-√2/2, -√2/2

47
Q

(x,y) points of the angle 4π/3

A

-1/2, -√3/2

48
Q

(x,y) points of the angle 3π/2

A

0, -1

49
Q

(x,y) points of the angle 5π/3

A

1/2, -√3/2

50
Q

(x,y) points of the angle 7π/4

A

√2/2, -√2/2

51
Q

(x,y) points of the angle 11π/6

A

√3/2, -1/2

52
Q

(x,y) points of the angle 2π

A

1, 0

53
Q

(x,y) points of the angle 0

A

1,0

54
Q

The inverse of Sin is

A

Csc

55
Q

The inverse of Cos is

A

Sec

56
Q

The inverse of Tan is

A

Cot

57
Q

inverse identity cscθ=

A

1 / sinθ

58
Q

inverse identity sinθ=

A

1/ cscθ

59
Q

inverse identity secθ=

A

1/ cosθ

60
Q

inverse identity cosθ=

A

1/ secθ

61
Q

inverse identity cotθ=

A

1/tanθ

62
Q

inverse identity tanθ=

A

1/cotθ

63
Q

quotient identity tanθ=

A

sinθ / cosθ

64
Q

quotient identity cotθ=

A

cosθ / sinθ

65
Q

Pythagorean identity sin^2θ + cos^2θ=

A

1

66
Q

Pythagorean identity 1+tan^2θ=

A

sec^2θ

67
Q

Pythagorean identity 1+cot^2θ=

A

csc^2θ

68
Q

negative identity -sinθ=

A

sin(-θ)

69
Q

negative identity -cscθ=

A

csc(-θ)

70
Q

negative identity -tanθ=

A

tan (-θ)

71
Q

negative identity -cotθ=

A

cot(-θ)

72
Q

negative identity cos (-θ)=

A

cosθ

73
Q

negative identity sec(-θ)=

A

secθ

74
Q

opp, adj, hyp Sin=

A

opp / hyp

75
Q

opp, adj, hyp csc=

A

hyp / opp

76
Q

opp, adj, hyp cos=

A

adj / hyp

77
Q

opp, adj, hyp sec=

A

hyp / adj

78
Q

opp, adj, hyp tan=

A

opp / adj

79
Q

opp, adj, hyp cot=

A

adj/ opp

80
Q

Cos (a+b)=

A

cos(a)cos(b) - sin(a)sin(b)

81
Q

Cos (a-b)=

A

cos(a)cos(b) + sin(a)sin(b)

82
Q

cos (π/2 -θ)=

A

sinθ

83
Q

sin (π/2 -θ)=

A

cosθ

84
Q

sin (a+b)=

A

sin(a)cos(b) + cos(a)sin(b)

85
Q

sin(a-b)=

A

sin(a)cos(b) - cos(a)sin(b)

86
Q

tan (a+b)=

A

tan(a) + tan(b) / 1 - tan(a)tan(b)

87
Q

tan (a-b)=

A

tan(a) - tan(b) / 1 + tan(a)tan(b)

88
Q

sin2θ=

A

2sinθcosθ

89
Q

tan2θ=

A

2tanθ / 1-tan^2θ

90
Q

cos2θ= 3 forms

A

cos^2θ - sin^2θ

1 - 2sin^2θ

2cos^2θ - 1

91
Q

sin (θ/2)=

A

± √(1 - cosθ /2)

92
Q

cos(θ/2)=

A

± √(1 + cosθ /2)

93
Q

tan (θ/2)=

A

± √(1 - cosθ / 1 + cosθ)

94
Q

What is the formula to find the distance in a straight line?

A

d=√((x2- x1)^2 + (y2-y1)^2)

95
Q

What is the formula to find the midpoint of a straight line?

A

M= (x1 + x2) /2 , (y1 - y2) /2

96
Q

What is the formula of a straight line?

A

y=mx+b

97
Q

What is the formula to find the slope of a straight line?

A

m= (y2-y1) / (x2-x1)

98
Q

What is the general form of the equation of a circle?

A

x^2 + y^2 + ax + by + c=0

99
Q

What is the standard form of the equation of a circle?

A

(x-h)^2 + (y-k)^2=r^2

100
Q

What is the equation of a quadratic function?

A

ax^2 + bx +c

101
Q

What is the standard form of a quadratic function?

A

a (x-h)^2 +k

102
Q

What is the simple interest formula?

A

I=Prt

I=interest
P=principal deposite
r=rate
t=time in years

103
Q

What is the compound interest formula?

A

A=P (1 + (r/n))^nt

A=total money
r=interest rate
n=number of compounding period
P=initial deposite
t=time
104
Q

What is the formula for the continuous compound interest?

A

A=Pe^rt

A=total money
P=initial deposite
e= e in the calculator
r=rate
t=time in year

Math review 201 (1 decks)

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