Circular Functions 2023 Flashcards
1
Q
sin0°
A
0
2
Q
sin30°
A
1/2
3
Q
sin45°
A
1/√2
4
Q
sin60°
A
√3/2
5
Q
sin90°
A
1
6
Q
cos0°
A
1
7
Q
cos30°
A
√3/2
8
Q
cos45°
A
1/√2
9
Q
cos60°
A
1/2
10
Q
cos90°
A
0
11
Q
tan0°
A
0
12
Q
tan30°
A
1/√3
13
Q
tan45°
A
1
14
Q
tan60°
A
√3
15
Q
tan90°
A
undefined
16
Q
sin(π/6)
A
1/2
17
Q
sin(π/4)
A
1/√2
18
Q
sin(π/3)
A
√3/2
19
Q
sin(π/2)
A
1
20
Q
cos(π/6)
A
√3/2
21
Q
cos(π/4)
A
1/√2
22
Q
cos(π/3)
A
1/2
23
Q
cos(π/2)
A
0
24
Q
tan(π/6)
A
1/√3
25
tan(π/4)
1
26
tan(π/3)
√3
27
tan(π/2)
undefined
28
Radians to Degrees
1 radian = 180/π degrees
29
Degrees to Radians
1 degree = π/180 radians
30
General Solution of tan
nπ + θ (where n∈Z)
31
General Solution of cos
2nπ ± θ (where n∈Z)
32
General Solution of sin (simplified)
nπ + (-1)^n × θ (where n∈Z)
33
Trigonmetric Identity
sin²θ + cos²θ = 1
34
cos(π/2 - θ)
sinθ
35
sin(π/2 - θ)
cosθ
36
tan(π/2 - θ)
cosθ/sinθ (cotθ)
37
cos(π/2 + θ)
-sinθ
38
sin(π/2 + θ)
cosθ
39
tan(π/2 + θ)
cosθ/-sinθ (-cotθ)
40
cos(3π/2 - θ)
-sinθ
41
cos(3π/2 + θ)
sinθ
42
sin(3π/2 - θ)
-cosθ
43
sin(3π/2 + θ)
-cosθ
44
tan(3π/2 - θ)
-cosθ/-sinθ (cotθ)
45
tan(3π/2 + θ)
-cosθ/sinθ (-cotθ)
46
General Solution of sin (textbook)
2nπ + θ and (2n + 1)π - θ (where n∈Z)
47
cotθ
1/tanθ
