1
Q
(sin(x))^2 + (cos(x))^2
A
1
2
Q
(tan(x))^2 + 1
A
(sec(x))^2
3
Q
(cot(x))^2 + 1
A
(csc(x))^2
4
Q
1/sin(x)
A
csc(x)
5
Q
1/cos(x)
A
sec(x)
6
Q
1/tan(x)
A
cot(x)
7
Q
sin(-x)
A
-sin(x)
8
Q
cos(-x)
A
cos(x)
9
Q
tan(-x)
A
-tan(x)
10
Q
sin(x) * sin(y)
A
[cos(x - y) - cos(x + y)] / 2
11
Q
cos(x) * cos(y)
A
[cos(x - y) + cos(x + y)] / 2
12
Q
sin(x) * cos(y)
A
[sin(x - y) + sin(x + y)] / 2
13
Q
sin(x) + sin(y)
A
2 * sin([x + y] / 2) * cos([x - y] / 2)
14
Q
sin(x) - sin(y)
A
2 * sin([x - y] / 2) * cos([x + y] / 2)
15
Q
cos(x) + cos(y)
A
2 * cos([x + y] / 2) * cos([x - y] / 2)
16
Q
cos(x) - cos(y)
A
-2 * sin([x + y] / 2) * sin([x - y] / 2)
17
Q
sin(2x)
A
2 * sin(x) * cos(x)
18
Q
cos(2x)
A
(cos(x))^2 - (sin(x))^2
19
Q
tan(2x)
A
[2 * tan(x)] / [1 - (tan(x))^2]
20
Q
cos([π / 2] - x)
A
sin(x)
21
Q
sin([π / 2] - x)
A
cos(x)
22
Q
tan([π / 2] - x)
A
cot(x)
23
Q
cot([π / 2] - x)
A
tan(x)
24
Q
csc([π / 2] - x)
A
sec(x)
25
sec([π / 2] - x)
csc(x)
26
sin(x + _π) = sin(x)
2
27
cos(x + _π) = cos(x)
2
28
tan(x + _π) = tan(x)
1
29
cot(x + _π) = cot(x)
1
30
sec(x + _π) = sec(x)
2
31
csc(x + _π) = csc(x)
2
32
sin(x + y)
sin(x) * cos(y) + cos(x) * sin(y)
33
sin(x - y)
sin(x) * cos(y) - cos(x) * sin(y)
34
cos(x + y)
cos(x) * cos(y) - sin(x) * sin(y)
35
cos(x - y)
cos(x) * cos(y) + sin(x) * sin(y)
36
tan(x + y)
[tan(x) + tan(y)] / [1 - tan(x) * tan(y)]
37
tan(x - y)
[tan(x) - tan(y)] / [1 + tan(x) * tan(y)]
38
sin(x / 2)
±√([1 - cos(x)] / 2)
39
cos(x / 2)
±√([1 + cos(x)] / 2)
40
tan(x / 2)
[1 - cos(x)] / [sin(x)]
Math
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Decks in class (10)
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