Trigonometry Flashcards
1
Q
sin(x)
A
opp/hyp
2
Q
csc(x)
A
hyp/opp
3
Q
cos(x)
A
adj/hyp
4
Q
sec(x)
A
hyp/adj
5
Q
tan(x)
A
opp/adj
6
Q
cot(x)
A
adj/opp
7
Q
sin(pi/4)
A
sqrt(2)/2
8
Q
sin(pi/6)
A
1/2
9
Q
sin(pi/3)
A
sqrt(3)/2
10
Q
cos(pi/4)
A
sqrt(2)/2
11
Q
cos(pi/6)
A
sqrt(3)/2
12
Q
cos(pi/3)
A
1/2
13
Q
tan(pi/4)
A
1
14
Q
tan(pi/6)
A
sqrt(3)/3
15
Q
tan(pi/3)
A
sqrt(3)
16
Q
Identity of: csc(x)
A
1/sin(x)
17
Q
Identity of: sec(x)
A
1/cos(x)
18
Q
Identity of: cot(x)
A
1/tan(x)
19
Q
Identity of: tan(x)
A
sin(x)/cos(x)
20
Q
Identity of: cot(x)
A
cos(x)/sin(x)
21
Q
sin^2(x) + cos^2(x)
A
1
22
Q
tan^2(x) + 1
A
sec^2(x)
23
Q
1 + cot^2(x)
A
csc^2(x)
24
Q
sin(-x)
A
-sin(x)
25
cos(-x)
cos(x)
26
sin(x + 2pi)
sin(x)
27
cos(x + 2pi)
cos(x)
28
sin(x + y)
sin(x)cos(y) + cos(x)sin(y)
29
cos(x + y)
cos(x)cos(y) - sin(x)sin(y)
30
sin(x - y)
sin(x)cos(y) - cos(x)sin(y)
31
cos(x - y)
cos(x)cos(y) + sin(x)sin(y)
32
tan(x + y)
(tan(x) + tan(y))/(1 - tan(x)tan(y))
33
tan(x - y)
(tan(x) - tan(y))/(1 + tan(x)tan(y))
34
Double Angle: sin(2x)
2sin(x)cos(x)
35
Double Angle: cos(2x)
cos^2(x) - sin^x(x)
36
For cos: cos(2x)
2cos^2(x) - 1
37
For sin: cos(2x)
1 - 2sin^2(x)
38
Half-angle: cos^2(x)
(1 + cos(2x))/2
39
Half-angle: sin^2(x)
(1 - cos(2x))/2
40
sin(x)cos(x)
1/2[sin(x + y) + sin(x - y)]
41
cos(x)cos(y)
1/2[cos(x + y) + cos(x - y)]
42
sin(x)sin(y)
1/2[cos(x - y) - cos(x + y)]
43
D: sin(x) and cos(x)
(-inf, inf)
44
R: sin(x) and cos(x)
[-1,1]
45
D: tan(x) and cot(x)
(-inf, inf)
46
R: tan(x) and cot(x)
(-inf, inf)
47
D: csc(x) and sec(x)
(-inf, inf)
48
R: csc(x) and sec(x)
(-inf, -1] U [1, inf)
