AP Calc BC Flashcards

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Last updated 7:03 AM on 8/20/26
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86 Terms

1
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sin(0)
0
2
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sin(π/6)
1/2
3
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sin(π/4)
√2/2
4
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sin(π/3)
√3/2
5
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sin(π/2)
1
6
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sin(2π/3)
√3/2
7
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sin(3π/4)
√2/2
8
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sin(5π/6)
1/2
9
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sin(π)
0
10
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sin(7π/6)
-1/2
11
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sin(5π/4)
-√2/2
12
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sin(4π/3)
-√3/2
13
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sin(3π/2)
-1
14
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sin(5π/3)
-√3/2
15
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sin(7π/4)
-√2/2
16
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sin(11π/6)
-1/2
17
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sin(2π)
0
18
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cos(0)
1
19
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cos(π/6)
√3/2
20
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cos(π/4)
√2/2
21
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cos(π/3)
1/2
22
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cos(π/2)
0
23
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cos(2π/3)
-1/2
24
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cos(3π/4)
-√2/2
25
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cos(5π/6)
-√3/2
26
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cos(π)
-1
27
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cos(7π/6)
-√3/2
28
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cos(5π/4)
-√2/2
29
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cos(4π/3)
-1/2
30
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cos(3π/2)
0
31
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cos(5π/3)
1/2
32
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cos(7π/4)
√2/2
33
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cos(11π/6)
√3/2
34
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cos(2π)
1
35
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tan(0)
0
36
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tan(π/6)
√3/3
37
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tan(π/4)
1
38
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tan(π/3)
√3
39
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tan(π/2)
undefined
40
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tan(2π/3)
-√3
41
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tan(3π/4)
-1
42
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tan(5π/6)
-√3/3
43
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tan(π)
0
44
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tan(7π/6)
√3/3
45
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tan(5π/4)
1
46
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tan(4π/3)
√3
47
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tan(3π/2)
undefined
48
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tan(5π/3)
-√3
49
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tan(7π/4)
-1
50
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tan(11π/6)
-√3/3
51
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tan(2π)
0
52
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sec(0)
1
53
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sec(π/6)
2√3/3
54
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sec(π/4)
√2
55
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sec(π/3)
2
56
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sec(π/2)
undefined
57
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csc(0)
undefined
58
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csc(π/6)
2
59
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csc(π/4)
√2
60
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csc(π/3)
2√3/3
61
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csc(π/2)
1
62
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cot(0)
undefined
63
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cot(π/6)
√3
64
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cot(π/4)
1
65
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cot(π/3)
√3/3
66
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cot(π/2)
0
67
New cards

pythagorean identity (sin & cos)

sin²(x) + cos²(x) = 1

68
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pythagorean identity (tan & sec)

1 + tan²(x) = sec²(x)

69
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pythagorean identity (cot & csc)

1 + cot²(x) = csc²(x)

70
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sin(2x)
2sin(x)cos(x)
71
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cos(2x)
cos²(x) - sin²(x)
72
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cos(2x)
2cos²(x) - 1
73
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cos(2x)
1 - 2sin²(x)
74
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tan(2x)
2tan(x)/(1 - tan²(x))
75
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lim[x→a] [f(x) + g(x)]
lim[x→a] f(x) + lim[x→a] g(x)
76
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lim[x→a] [f(x) - g(x)]
lim[x→a] f(x) - lim[x→a] g(x)
77
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lim[x→a] [c f(x)]
c lim[x→a] f(x)
78
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lim[x→a] [f(x)g(x)]
[lim[x→a] f(x)][lim[x→a] g(x)]
79
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lim[x→a] [f(x)/g(x)]
[lim[x→a] f(x)]/[lim[x→a] g(x)]
80
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lim[x→a] [f(x)]ⁿ
[lim[x→a] f(x)]ⁿ
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3 Conditions for Continuity

1) f(a) exists

2) lim[x→a] f(x) exists

3) lim[x→a] f(x) = f(a)

82
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limx→0 sin(x)/x

1

83
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limx→0 x/sin(x) = 1

1

84
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limx→0 (1 - cos(x))/x

0

85
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limx→0 (cos(x)-1)/x

0

86
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limx→0 tan(x)/x

1