Trigonometry Flashcards
1
Q
1 radian
A
(180/pi) degrees
2
Q
1 degree
A
(pi/180)rradians
3
Q
0 degrees
A
0 radians
4
Q
0 radians
A
0 degrees
5
Q
30 degrees
A
pi/6
6
Q
pi/6
A
30 degrees
7
Q
45 degrees
A
pi/4
8
Q
pi/4
A
45 degrees
9
Q
60 degrees
A
pi/3
10
Q
pi/3
A
60 degrees
11
Q
90 degrees
A
pi/2
12
Q
pi/2
A
90 degrees
13
Q
120 degrees
A
2pi/3
14
Q
2pi/3
A
120 degrees
15
Q
135 degrees
A
3pi/4
16
Q
3pi/4
A
135 degrees
17
Q
150 degrees
A
5pi/6
18
Q
5pi/6
A
150 degrees
19
Q
180 degrees
A
pi
20
Q
pi
A
180 degrees
21
Q
270 degrees
A
3pi/2
22
Q
3pi/2
A
270 degrees
23
Q
360 degrees
A
2pi
24
Q
2pi
A
360 degrees
25
sin(theta)
opp/hyp
| y/r
26
csc(theta)
hyp/opp
r/y
1/(sin(theta))
27
cos(theta)
adj/hyp
| x/r
28
sec(theta)
hyp/adj
r/x
1/(cos(theta))
29
tan(theta)
opp/adj
y/x
(sin(theta))/(cos(theta))
30
cot(theta)
adj/opp
x/y
(1/(tan(theta))
(cos(theta))/(sin(theta))
31
sin(pi/4)
1/(sqrt2)
32
sin(pi/6)
1/2
33
sin(pi/3)
(sqrt3)/2
34
cos(pi/4)
1/(sqrt2)
35
cos(pi/6)
(sqrt3)/2
36
cos(pi/3)
1/2
37
tan(pi/4)
1
38
tan(pi/6)
1/(sqrt3)
39
tan(pi/3)
sqrt3
40
sin(0)
0
41
cos(0)
1
42
sin(pi/2)
1
43
cos(pi/2)
0
44
sin(2pi/3)
(sqrt3)/2
45
cos(2pi/3)
-1/2
46
sin(3pi/4)
1/(sqrt2)
47
cos(3pi/4)
-1/(sqrt2)
48
sin(5pi/6)
1/2
49
cos(5pi/6)
-(sqrt3)/2
50
sin(pi)
0
51
cos(pi)
-1
52
sin(3pi/2)
-1
53
cos(3pi/2)
0
54
sin(2pi)
0
55
cos(2pi)
1
56
sin*2(theta)+cos*2(theta)
1
57
tan*2(theta)+1
sec*2(theta)
58
1+cot*2(theta)
csc*2(theta)
59
sin(-theta)
-sin(theta)
60
cos(-theta)
cos(theta)
61
sin(x+y)
sin(x)cos(y)+cos(x)sin*y)
62
cos(x+y)
cos(x)cos(y)-sin(x)sin(y)
63
sin(x-y)
sin(x)cos(y)-cos(x)sin(y)
64
cos(x-y)
cos(x)cos(y)+sin(x)sin(y)
65
tan(x+y)
(tan(x)+tan(y))/(1-tan(x)tan(y))
66
tan(x-y)
(tan(x)-tan(y))/(1+tan(x)tan(y))
67
sin(2x)
2sin(x)cos(x)
68
cos(2x)
cos*2(x)-sin*2(x)
2cos*2(x)-1
1-2sin*2(x)
69
cos*2(x)
(1+cos(2x))/2
70
sin*2(x)
(1-cos(2x))/2
71
sin(x)cos(y)
1/2(sin(x+y)+sin(x-y))
72
cos(x)cos(y)
1/2(cos(x+y)+cos(x-y))
73
sin(x)sin(y)
1/2(cos(x-y)-cos(x+y))
74
Range of sin(x)
[-1,1]
75
Range of cos(x)
[-1,1]
76
The Law of Sines
sinA/a = sinB/b = sinC/c
77
The Law of Cosines
```
a*2 = b*2 + c*2 - 2bc(cosA)
b*2 = a*2 + c*2 - 2ac(cosB)
c*2 = a*2 + b*2 - 2ab(cosC)
```
78
tan(2x)
(2tan(x))/(1-tan*2(x))
