Summer Calc AB

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65 Terms

1
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Cos(3π/2)
0
2
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Sin(3π/2)
-1
3
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Tan(3π/2)
undefined
4
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Cos(5π/3)
1/2
5
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Sin(5π/3)
-√3/2
6
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Tan(5π/3)
-√3
7
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Cos(7π/4)
√2/2
8
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Sin(7π/4)
-√2/2
9
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Tan(7π/4)
-1
10
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Cos(11π/6)
√3/2
11
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Sin(11π/6)
-1/2
12
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Tan(11π/6)
-√3/3
13
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Cos(2π)
1
14
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Sin(2π)
0
15
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Tan(2π)
0
16
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Cos(π/2)
0
17
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Sin(π/2)
1
18
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Tan(π/2)
undefined
19
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Cos(2π/3)
-1/2
20
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Sin(2π/3)
√3/2
21
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Tan(2π/3)
-√3
22
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Cos(3π/4)
-√2/2
23
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Sin(3π/4)
√2/2
24
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Tan(3π/4)
-1
25
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Cos(5π/6)
-√3/2
26
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Sin(5π/6)
1/2
27
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Tan(5π/6)
-√3/3
28
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Cos(π)
-1
29
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Sin(π)
0
30
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Tan(π)
0
31
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Cos(0)
1
32
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Sin(0)
0
33
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Tan(0)
0
34
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Cos(π/6)
√3/2
35
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Sin(π/6)
1/2
36
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Tan(π/6)
√3/3
37
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Cos(π/4)
√2/2
38
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Sin(π/4)
√2/2
39
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Tan(π/4)
1
40
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Cos(π/3)
1/2
41
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Sin(π/3)
√3/2
42
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Tan(π/3)
√3
43
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Cos(7π/6)
-√3/2
44
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Sin(7π/6)
-1/2
45
New cards
Tan(7π/6)
√3/3
46
New cards
Cos(5π/4)
-√2/2
47
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Sin(5π/4)
-√2/2
48
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Tan(5π/4)
1
49
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Cos(4π/3)
-1/2
50
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Sin(4π/3)
-√3/2
51
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Tan(4π/3)
√3
52
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sin and cos pythagorean identity:

sin²x + cos²x = 1

53
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tan pythagorean identity:

tan²x + 1 = sec²x

54
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csc pythagorean identity:

csc² = cot² + 1

55
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sin(2x) =

2sinxcosx

56
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cos(2x) =

cos²x - sin²x

1 - 2sin²x

2cos²x - 1

57
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tan(2x) =

(2tanx) / (1-tan2x)

58
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vertical line & its slope:

x = c; dne

59
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horizontal line & its slope:

y = c; 0

60
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f(x) = Asin(Bx + C) + K

What are the meanings of the capital variables above?

A = amplitude

2π/B = period

B/C = phase shift (left if +, right if -)

K = vertical shift

61
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domain and range of arcsin:

D: [-1, 1]

R: [-π/2, π/2]

62
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domain and range of arccos:

D: [-1, 1]

R: [0, π]

63
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domain and range of arctan:

D: (− ∞ , ∞ )

R: (-π/2, π/2)

64
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a³ + b³ =

(a+b)(a²-ab+b²)

65
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a³ - b³ =

(a-b)(a²+ab+b²)