Summer Studying Flashcards
(201 cards)
1
Q
Trignometric Identity
sec(x)
A
1/cos(x)
2
Q
Trignometric Identity
csc(x)
A
1/sin(x)
3
Q
Trignometric Identity
cot(x)
Inverse Terms
A
1/tan(x)
4
Q
Trignometric Identity
tan(x)
Trig Identity
A
sin(x)/cos(x)
5
Q
Trignometric Identity
cot(x)
Sin and cos terms
A
cos(x)/sin(x)
6
Q
Trignometric Identity
cos²(x) + sin²(x)
A
1
7
Q
Trignometric Identity
1+tan²x
A
sec²x
8
Q
Trignometric Identity
sec²x
A
1+tan²x
9
Q
Trignometric Identity
1+cot²(x)
A
csc²(x)
10
Q
Trignometric Identity
csc²(x)
A
1 + tan²(x)
11
Q
Trignometric Identity
sin(2x)
A
2sin(x)cos(x)
12
Q
Trignometric Identity
2sin(x)cos(x)
A
sin(2x)
13
Q
Trignometric Identity
cos(2x)
A
cos²(x) - sin²(x)
14
Q
Trignometric Identity
cos²(x) - sin²(x)
A
cos(2x)
15
Q
Trignometric Identity
cos²(x)
cos 2x terms
A
½(1+ cos(2x))
16
Q
Trignometric Identity
½(1+ cos(2x))
A
cos²(x)
17
Q
Trignometric Identity
sin²x
cos 2x terms
A
½(1-cos(2x))
18
Q
Trignometric Identity
½(1-cos(2x))
A
sin²(x)
19
Q
Trignometric Identity
1/cos(x)
A
sec(x)
20
Q
Trignometric Identity
1/sin(x)
A
csc(x)
21
Q
Trignometric Identity
1/tan(x)
A
cot(x)
22
Q
Trignometric Identity
sin(x)/cos(x)
A
tan(x)
23
Q
Trignometric Identity
cot(x)
cos and sin terms
A
cos(x)/sin(x)
24
Q
Graph Form
Slope-Intercept Form
A
y = mx + b
25
# Graph Form
Point-Slope Form
y - y₁ = m(x - x₁)
26
Normal line is ______ to tangent line
Perpendicular
27
____ line is perpendicular to tangent line
Normal
28
Normal line is perpendicular to ____ line
Tangent
29
f(x) = f(-x)
Even function
30
Even function criteria
f(x) = f(-x)
31
f(-x) = -f(x)
Odd function
32
Odd function criteria
f(-x) = -f(x)
33
# Exponents
a⁰ when a ≉ 0
1
34
# Exponents
a¹
a
35
# Exponents
a^m × a^n
a^m+n
36
# Logarithms
log(base b) x = y
y^b = x
37
# Exponents
a^m/a^n
a^m-n
38
# Exponents
a^m/n
(nth root of a)^m
39
# Exponents
(a^m)^n
a^mn
40
# Exponents
a^m/n
nth root of (a^m)
41
# Exponents
a^-m when a ≉ 0
1/a^m
42
# Logarithms
b^y = x (turn to log)
log (base b) x = y
43
# Area/Volume
Area of a Triangle
A = ½bh
44
# Area/Volume
Area of an equilateral triangle
A = (√3 / 4) s²
45
# Area/Volume
Area of a Circle
A = πr^2
46
# Area/Volume
Circumference of a circle
C = 2πr or C = πd
47
# Area/Volume
Volume of a sphere
V = (4/3)πr³
48
# Area/Volume
Surface Area of a sphere
4πr²
49
# Area/Volume
Volume of a cylinder
V = πr²h
50
# Area/Volume
Volume of a cone
V = (π/3)r²h
51
# Logarithms
log (base b) 1
0
52
# Logarithms
log (base b) b
1
53
# Logarithms
log (base b) mn
log (base b) m + log (base b) n
54
# Logarithms
log (base b) m + log (base b) n
log (base b) mn
55
# Logarithms
log (base b) m/n
log (base b) m - log (base b) n
56
# Logarithms
log (base b) m - log (base b) n
log (base b) m/n
57
# Logarithms
log (base b) m^n
n log (base b) m
58
# Logarithms
n log (base b) m
log (base b) m^n
59
# Logarithms
e^ln(x)
x
60
# Logarithms
ln e^x
x
61
# Logarithms
log (base b) x
log x / log b
62
# Logarithms
log (base b) b^a
a
63
# Logarithms
b^log (base b) a
a
64
# Degrees and Radians
0 degrees in radians
0
65
# Degrees and Radians
30 degrees in radians
π/6
66
# Degrees and Radians
45 degrees in radians
π/4
67
# Degrees and Radians
60 degrees in radians
π/3
68
# Degrees and Radians
90 degrees in radians
π/2
69
# Degrees and Radians
120 degrees in radians
2π/3
70
# Degrees and Radians
135 degrees in radians
3π/4
71
# Degrees and Radians
150 degrees in radians
5π/6
72
# Degrees and Radians
180 degrees in radians
π
73
# Degrees and Radians
210 degrees in radians
7π/6
74
# Degrees and Radians
225 degrees in radians
5π/4
75
# Degrees and Radians
240 degrees in radians
4π/3
76
# Degrees and Radians
270 degrees in radians
3π/2
77
# Degrees and Radians
300 degrees in radians
5π/3
78
# Degrees and Radians
315 degrees in radians
7π/4
79
# Degrees and Radians
330 degrees in radians
11π/6
80
# Degrees and Radians
360 degrees in radians
2π
81
# Trignometric Functions
sin(0)
0
82
# Trignometric Functions
cos(0)
1
83
# Trignometric Functions
tan(0)
0
84
# Trignometric Functions
cot(0)
Undefined
85
# Trignometric Functions
sec(0)
1
86
# Trignometric Functions
csc(0)
Undefined
87
# Trignometric Functions
sin(30)
½
88
# Trignometric Functions
cos(30)
√3/2
89
# Trignometric Functions
tan(30)
√3/3
90
# Trignometric Functions
cot(30)
√3
91
# Trignometric Functions
sec(30)
2√3 /3
92
# Trignometric Functions
csc(30)
2
93
# Trignometric Functions
sin(45)
√2 /2
94
# Trignometric Functions
cos(45)
√2 /2
95
# Trignometric Functions
tan(45)
1
96
# Trignometric Functions
cot(45)
1
97
# Trignometric Functions
sec(45)
√2
98
# Trignometric Functions
csc(45)
√2
99
# Trignometric Functions
sin(60)
√3 /2
100
# Trignometric Functions
cos(60)
½
101
# Trignometric Functions
tan(60)
√3
102
# Trignometric Functions
cot(60)
√3 /3
103
# Trignometric Functions
sec(60)
2
104
# Trignometric Functions
csc(60)
2√3 /3
105
# Trignometric Functions
sin(90)
1
106
# Trignometric Functions
cos(90)
0
107
# Trignometric Functions
tan(90)
Undefined
108
# Trignometric Functions
cot(90)
0
109
# Trignometric Functions
sec(90)
Undefined
110
# Trignometric Functions
csc(90)
1
111
# Trignometric Functions
sin(120)
√3 /2
112
# Trignometric Functions
cos(120)
-½
113
# Trignometric Functions
tan(120)
−√3
114
# Trignometric Functions
cot(120)
-√3 /3
115
# Trignometric Functions
sec(120)
-2
116
# Trignometric Functions
csc(120)
2√3 /3
117
# Trignometric Functions
sin(135)
√2 /2
118
# Trignometric Functions
cos(135)
-√2 /2
119
# Trignometric Functions
tan(135)
-1
120
# Trignometric Functions
cot(135)
-1
121
# Trignometric Functions
sec(135)
−√2
122
# Trignometric Functions
csc(135)
√2
123
# Trignometric Functions
sin(150)
½
124
# Trignometric Functions
sin(150)
-√3 /2
125
# Trignometric Functions
tan(150)
−√3 /3
126
# Trignometric Functions
cot(150)
−√3
127
# Trignometric Functions
sec(150)
-2√3 /3
128
# Trignometric Functions
csc(150)
2
129
# Trignometric Functions
sin(180)
0
130
# Trignometric Functions
cos(180)
-1
131
# Trignometric Functions
tan(180)
0
132
# Trignometric Functions
cot(180)
Undefined
133
# Trignometric Functions
sec(180)
-1
134
# Trignometric Functions
csc(180)
Undefined
135
# Trignometric Functions
sin(210)
-½
136
# Trignometric Functions
cos(210)
−√3 /2
137
# Trignometric Functions
tan(210)
√3 /3
138
# Trignometric Functions
cot(210)
√3
139
# Trignometric Functions
sec(210)
−2√3 /3
140
# Trignometric Functions
csc(210)
-2
141
# Trignometric Functions
sin(225)
−√2 /2
142
# Trignometric Functions
cos(225)
-√2 /2
143
# Trignometric Functions
tan(225)
1
144
# Trignometric Functions
cot(225)
1
145
# Trignometric Functions
sec(225)
-√2
146
# Trignometric Functions
csc(225)
−√2
147
# Trignometric Functions
sin(240)
−√3 /2
148
# Trignometric Functions
cos(240)
−½
149
# Trignometric Functions
tan(240)
√3
150
# Trignometric Functions
cot(240)
√3 /3
151
# Trignometric Functions
sec(240)
-2
152
# Trignometric Functions
csc(240)
-2√3 /3
153
# Trignometric Functions
sin(270)
-1
154
# Trignometric Functions
cos(270)
0
155
# Trignometric Functions
tan(270)
Undefined
156
# Trignometric Functions
cot(270)
0
157
# Trignometric Functions
sec(270)
Undefined
158
# Trignometric Functions
csc(270)
-1
159
# Trignometric Functions
sin(300)
-√3 /2
160
# Trignometric Functions
cos(300)
½
161
# Trignometric Functions
tan(300)
−√3
162
# Trignometric Functions
cot(300)
-√3 /3
163
# Trignometric Functions
sec(300)
2
164
# Trignometric Functions
csc(300)
-2√3 /3
165
# Trignometric Functions
sin(315)
-√2 /2
166
# Trignometric Functions
cos(315)
√2 /2
167
# Trignometric Functions
tan(315)
-1
168
# Trignometric Functions
cot(315)
-1
169
# Trignometric Functions
sec(315)
√2
170
# Trignometric Functions
csc(315)
−√2
171
# Trignometric Functions
sin(330)
−½
172
# Trignometric Functions
cos(330)
√3 /2
173
# Trignometric Functions
tan(330)
-√3 /3
174
# Trignometric Functions
cot(330)
-√3
175
# Trignometric Functions
sec(330)
2√3 /3
176
# Trignometric Functions
csc(330)
-2
177
# Trignometric Functions
sin(360)
0
178
# Trignometric Functions
cos(360)
1
179
# Trignometric Functions
tan(360)
0
180
# Trignometric Functions
cot(360)
Undefined
181
# Trignometric Functions
sec(360)
1
182
# Trignometric Functions
csc(360)
Undefined
183
# Graph
y = x
https://www.desmos.com/calculator/im3po2ccyg
184
# Graph
y = x²
https://www.desmos.com/calculator/im3po2ccyg
185
# Graph
y = x³
https://www.desmos.com/calculator/im3po2ccyg
186
# Graph
y = √x
https://www.desmos.com/calculator/im3po2ccyg
187
# Graph
y = ln(x)
https://www.desmos.com/calculator/im3po2ccyg
188
# Graph
y = e^x
https://www.desmos.com/calculator/im3po2ccyg
189
# Graph
y = 1/x
https://www.desmos.com/calculator/im3po2ccyg
190
# Graph
y = 1/x²
https://www.desmos.com/calculator/im3po2ccyg
191
# Graph
y = |x|
https://www.desmos.com/calculator/im3po2ccyg
192
# Graph
y = sin(x)
https://www.desmos.com/calculator/im3po2ccyg
193
# Graph
y = cos(x)
https://www.desmos.com/calculator/im3po2ccyg
194
# Graph
y = tan(x)
https://www.desmos.com/calculator/im3po2ccyg
195
# Graph
y = x^2/3
https://www.desmos.com/calculator/im3po2ccyg
196
# Graph
y = √r²−x²
https://www.desmos.com/calculator/im3po2ccyg
197
# Graph
y = arctan(x)
https://www.desmos.com/calculator/im3po2ccyg
198
# Graph
y = |x|/ x
https://www.desmos.com/calculator/im3po2ccyg
199
# Graph
y = 1/x²+1
https://www.desmos.com/calculator/im3po2ccyg
200
# Graph
y = ½(e^x + e^-x) or y = cosh(x)
https://www.desmos.com/calculator/uzh0ugjrdi
201
# Graph
f(x) = [x]
Step Function
