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AP Calculus > Summer Studying Flashcards > Flashcards

Summer Studying Flashcards

1
Q

Trignometric Identity

sec(x)

A

1/cos(x)

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2
Q

Trignometric Identity

csc(x)

A

1/sin(x)

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3
Q

Trignometric Identity

cot(x)

Inverse Terms

A

1/tan(x)

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4
Q

Trignometric Identity

tan(x)

Trig Identity

A

sin(x)/cos(x)

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5
Q

Trignometric Identity

cot(x)

Sin and cos terms

A

cos(x)/sin(x)

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6
Q

Trignometric Identity

cos²(x) + sin²(x)

A

1

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7
Q

Trignometric Identity

1+tan²x

A

sec²x

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8
Q

Trignometric Identity

sec²x

A

1+tan²x

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9
Q

Trignometric Identity

1+cot²(x)

A

csc²(x)

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10
Q

Trignometric Identity

csc²(x)

A

1 + tan²(x)

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11
Q

Trignometric Identity

sin(2x)

A

2sin(x)cos(x)

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12
Q

Trignometric Identity

2sin(x)cos(x)

A

sin(2x)

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13
Q

Trignometric Identity

cos(2x)

A

cos²(x) - sin²(x)

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14
Q

Trignometric Identity

cos²(x) - sin²(x)

A

cos(2x)

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15
Q

Trignometric Identity

cos²(x)

cos 2x terms

A

½(1+ cos(2x))

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16
Q

Trignometric Identity

½(1+ cos(2x))

A

cos²(x)

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17
Q

Trignometric Identity

sin²x

cos 2x terms

A

½(1-cos(2x))

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18
Q

Trignometric Identity

½(1-cos(2x))

A

sin²(x)

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19
Q

Trignometric Identity

1/cos(x)

A

sec(x)

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20
Q

Trignometric Identity

1/sin(x)

A

csc(x)

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21
Q

Trignometric Identity

1/tan(x)

A

cot(x)

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22
Q

Trignometric Identity

sin(x)/cos(x)

A

tan(x)

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23
Q

Trignometric Identity

cot(x)

cos and sin terms

A

cos(x)/sin(x)

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24
Q

Graph Form

Slope-Intercept Form

A

y = mx + b

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25
Q

Graph Form

Point-Slope Form

A

y - y₁ = m(x - x₁)

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26
Q

Normal line is ______ to tangent line

A

Perpendicular

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27
Q

____ line is perpendicular to tangent line

A

Normal

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28
Q

Normal line is perpendicular to ____ line

A

Tangent

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29
Q

f(x) = f(-x)

A

Even function

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30
Q

Even function criteria

A

f(x) = f(-x)

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31
Q

f(-x) = -f(x)

A

Odd function

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32
Q

Odd function criteria

A

f(-x) = -f(x)

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33
Q

Exponents

a⁰ when a ≉ 0

A

1

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34
Q

Exponents

a¹

A

a

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35
Q

Exponents

a^m × a^n

A

a^m+n

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36
Q

Logarithms

log(base b) x = y

A

y^b = x

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37
Q

Exponents

a^m/a^n

A

a^m-n

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38
Q

Exponents

a^m/n

A

(nth root of a)^m

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39
Q

Exponents

(a^m)^n

A

a^mn

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40
Q

Exponents

a^m/n

A

nth root of (a^m)

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41
Q

Exponents

a^-m when a ≉ 0

A

1/a^m

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42
Q

Logarithms

b^y = x (turn to log)

A

log (base b) x = y

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43
Q

Area/Volume

Area of a Triangle

A

A = ½bh

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44
Q

Area/Volume

Area of an equilateral triangle

A

A = (√3 / 4) s²

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45
Q

Area/Volume

Area of a Circle

A

A = πr^2

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46
Q

Area/Volume

Circumference of a circle

A

C = 2πr or C = πd

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47
Q

Area/Volume

Volume of a sphere

A

V = (4/3)πr³

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48
Q

Area/Volume

Surface Area of a sphere

A

4πr²

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49
Q

Area/Volume

Volume of a cylinder

A

V = πr²h

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50
Q

Area/Volume

Volume of a cone

A

V = (π/3)r²h

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51
Q

Logarithms

log (base b) 1

A

0

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52
Q

Logarithms

log (base b) b

A

1

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53
Q

Logarithms

log (base b) mn

A

log (base b) m + log (base b) n

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54
Q

Logarithms

log (base b) m + log (base b) n

A

log (base b) mn

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55
Q

Logarithms

log (base b) m/n

A

log (base b) m - log (base b) n

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56
Q

Logarithms

log (base b) m - log (base b) n

A

log (base b) m/n

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57
Q

Logarithms

log (base b) m^n

A

n log (base b) m

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58
Q

Logarithms

n log (base b) m

A

log (base b) m^n

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59
Q

Logarithms

e^ln(x)

A

x

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60
Q

Logarithms

ln e^x

A

x

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61
Q

Logarithms

log (base b) x

A

log x / log b

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62
Q

Logarithms

log (base b) b^a

A

a

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63
Q

Logarithms

b^log (base b) a

A

a

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64
Q

Degrees and Radians

0 degrees in radians

A

0

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65
Q

Degrees and Radians

30 degrees in radians

A

π/6

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66
Q

Degrees and Radians

45 degrees in radians

A

π/4

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67
Q

Degrees and Radians

60 degrees in radians

A

π/3

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68
Q

Degrees and Radians

90 degrees in radians

A

π/2

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69
Q

Degrees and Radians

120 degrees in radians

A

2π/3

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70
Q

Degrees and Radians

135 degrees in radians

A

3π/4

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71
Q

Degrees and Radians

150 degrees in radians

A

5π/6

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72
Q

Degrees and Radians

180 degrees in radians

A

π

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73
Q

Degrees and Radians

210 degrees in radians

A

7π/6

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74
Q

Degrees and Radians

225 degrees in radians

A

5π/4

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75
Q

Degrees and Radians

240 degrees in radians

A

4π/3

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76
Q

Degrees and Radians

270 degrees in radians

A

3π/2

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77
Q

Degrees and Radians

300 degrees in radians

A

5π/3

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78
Q

Degrees and Radians

315 degrees in radians

A

7π/4

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79
Q

Degrees and Radians

330 degrees in radians

A

11π/6

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80
Q

Degrees and Radians

360 degrees in radians

A

2π

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81
Q

Trignometric Functions

sin(0)

A

0

82
Q

Trignometric Functions

cos(0)

A

1

83
Q

Trignometric Functions

tan(0)

A

0

84
Q

Trignometric Functions

cot(0)

A

Undefined

85
Q

Trignometric Functions

sec(0)

A

1

86
Q

Trignometric Functions

csc(0)

A

Undefined

87
Q

Trignometric Functions

sin(30)

A

½

88
Q

Trignometric Functions

cos(30)

A

√3/2

89
Q

Trignometric Functions

tan(30)

A

√3/3

90
Q

Trignometric Functions

cot(30)

A

√3

91
Q

Trignometric Functions

sec(30)

A

2√3 /3

92
Q

Trignometric Functions

csc(30)

A

2

93
Q

Trignometric Functions

sin(45)

A

√2 /2

94
Q

Trignometric Functions

cos(45)

A

√2 /2

95
Q

Trignometric Functions

tan(45)

A

1

96
Q

Trignometric Functions

cot(45)

A

1

97
Q

Trignometric Functions

sec(45)

A

√2

98
Q

Trignometric Functions

csc(45)

A

√2

99
Q

Trignometric Functions

sin(60)

A

√3 /2

100
Q

Trignometric Functions

cos(60)

A

½

101
Q

Trignometric Functions

tan(60)

A

√3

102
Q

Trignometric Functions

cot(60)

A

√3 /3

103
Q

Trignometric Functions

sec(60)

A

2

104
Q

Trignometric Functions

csc(60)

A

2√3 /3

105
Q

Trignometric Functions

sin(90)

A

1

106
Q

Trignometric Functions

cos(90)

A

0

107
Q

Trignometric Functions

tan(90)

A

Undefined

108
Q

Trignometric Functions

cot(90)

A

0

109
Q

Trignometric Functions

sec(90)

A

Undefined

110
Q

Trignometric Functions

csc(90)

A

1

111
Q

Trignometric Functions

sin(120)

A

√3 /2

112
Q

Trignometric Functions

cos(120)

A

-½

113
Q

Trignometric Functions

tan(120)

A

−√3

114
Q

Trignometric Functions

cot(120)

A

-√3 /3

115
Q

Trignometric Functions

sec(120)

A

-2

116
Q

Trignometric Functions

csc(120)

A

2√3 /3

117
Q

Trignometric Functions

sin(135)

A

√2 /2

118
Q

Trignometric Functions

cos(135)

A

-√2 /2

119
Q

Trignometric Functions

tan(135)

A

-1

120
Q

Trignometric Functions

cot(135)

A

-1

121
Q

Trignometric Functions

sec(135)

A

−√2

122
Q

Trignometric Functions

csc(135)

A

√2

123
Q

Trignometric Functions

sin(150)

A

½

124
Q

Trignometric Functions

sin(150)

A

-√3 /2

125
Q

Trignometric Functions

tan(150)

A

−√3 /3

126
Q

Trignometric Functions

cot(150)

A

−√3

127
Q

Trignometric Functions

sec(150)

A

-2√3 /3

128
Q

Trignometric Functions

csc(150)

A

2

129
Q

Trignometric Functions

sin(180)

A

0

130
Q

Trignometric Functions

cos(180)

A

-1

131
Q

Trignometric Functions

tan(180)

A

0

132
Q

Trignometric Functions

cot(180)

A

Undefined

133
Q

Trignometric Functions

sec(180)

A

-1

134
Q

Trignometric Functions

csc(180)

A

Undefined

135
Q

Trignometric Functions

sin(210)

A

-½

136
Q

Trignometric Functions

cos(210)

A

−√3 /2

137
Q

Trignometric Functions

tan(210)

A

√3 /3

138
Q

Trignometric Functions

cot(210)

A

√3

139
Q

Trignometric Functions

sec(210)

A

−2√3 /3

140
Q

Trignometric Functions

csc(210)

A

-2

141
Q

Trignometric Functions

sin(225)

A

−√2 /2

142
Q

Trignometric Functions

cos(225)

A

-√2 /2

143
Q

Trignometric Functions

tan(225)

A

1

144
Q

Trignometric Functions

cot(225)

A

1

145
Q

Trignometric Functions

sec(225)

A

-√2

146
Q

Trignometric Functions

csc(225)

A

−√2

147
Q

Trignometric Functions

sin(240)

A

−√3 /2

148
Q

Trignometric Functions

cos(240)

A

−½

149
Q

Trignometric Functions

tan(240)

A

√3

150
Q

Trignometric Functions

cot(240)

A

√3 /3

151
Q

Trignometric Functions

sec(240)

A

-2

152
Q

Trignometric Functions

csc(240)

A

-2√3 /3

153
Q

Trignometric Functions

sin(270)

A

-1

154
Q

Trignometric Functions

cos(270)

A

0

155
Q

Trignometric Functions

tan(270)

A

Undefined

156
Q

Trignometric Functions

cot(270)

A

0

157
Q

Trignometric Functions

sec(270)

A

Undefined

158
Q

Trignometric Functions

csc(270)

A

-1

159
Q

Trignometric Functions

sin(300)

A

-√3 /2

160
Q

Trignometric Functions

cos(300)

A

½

161
Q

Trignometric Functions

tan(300)

A

−√3

162
Q

Trignometric Functions

cot(300)

A

-√3 /3

163
Q

Trignometric Functions

sec(300)

A

2

164
Q

Trignometric Functions

csc(300)

A

-2√3 /3

165
Q

Trignometric Functions

sin(315)

A

-√2 /2

166
Q

Trignometric Functions

cos(315)

A

√2 /2

167
Q

Trignometric Functions

tan(315)

A

-1

168
Q

Trignometric Functions

cot(315)

A

-1

169
Q

Trignometric Functions

sec(315)

A

√2

170
Q

Trignometric Functions

csc(315)

A

−√2

171
Q

Trignometric Functions

sin(330)

A

−½

172
Q

Trignometric Functions

cos(330)

A

√3 /2

173
Q

Trignometric Functions

tan(330)

A

-√3 /3

174
Q

Trignometric Functions

cot(330)

A

-√3

175
Q

Trignometric Functions

sec(330)

A

2√3 /3

176
Q

Trignometric Functions

csc(330)

A

-2

177
Q

Trignometric Functions

sin(360)

A

0

178
Q

Trignometric Functions

cos(360)

A

1

179
Q

Trignometric Functions

tan(360)

A

0

180
Q

Trignometric Functions

cot(360)

A

Undefined

181
Q

Trignometric Functions

sec(360)

A

1

182
Q

Trignometric Functions

csc(360)

A

Undefined

183
Q

Graph

y = x

A

https://www.desmos.com/calculator/im3po2ccyg

184
Q

Graph

y = x²

A

https://www.desmos.com/calculator/im3po2ccyg

185
Q

Graph

y = x³

A

https://www.desmos.com/calculator/im3po2ccyg

186
Q

Graph

y = √x

A

https://www.desmos.com/calculator/im3po2ccyg

187
Q

Graph

y = ln(x)

A

https://www.desmos.com/calculator/im3po2ccyg

188
Q

Graph

y = e^x

A

https://www.desmos.com/calculator/im3po2ccyg

189
Q

Graph

y = 1/x

A

https://www.desmos.com/calculator/im3po2ccyg

190
Q

Graph

y = 1/x²

A

https://www.desmos.com/calculator/im3po2ccyg

191
Q

Graph

y = |x|

A

https://www.desmos.com/calculator/im3po2ccyg

192
Q

Graph

y = sin(x)

A

https://www.desmos.com/calculator/im3po2ccyg

193
Q

Graph

y = cos(x)

A

https://www.desmos.com/calculator/im3po2ccyg

194
Q

Graph

y = tan(x)

A

https://www.desmos.com/calculator/im3po2ccyg

195
Q

Graph

y = x^2/3

A

https://www.desmos.com/calculator/im3po2ccyg

196
Q

Graph

y = √r²−x²

A

https://www.desmos.com/calculator/im3po2ccyg

197
Q

Graph

y = arctan(x)

A

https://www.desmos.com/calculator/im3po2ccyg

198
Q

Graph

y = |x|/ x

A

https://www.desmos.com/calculator/im3po2ccyg

199
Q

Graph

y = 1/x²+1

A

https://www.desmos.com/calculator/im3po2ccyg

200
Q

Graph

y = ½(e^x + e^-x) or y = cosh(x)

A

https://www.desmos.com/calculator/uzh0ugjrdi

201
Q

Graph

f(x) = [x]

A

Step Function

AP Calculus (1 decks)

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