Trigonometry Flashcards
1
Q
cos² + sin² = ?
A
1
2
Q
cos(-x) = ?
A
cos(x)
3
Q
sin(-x) = ?
A
-sin(x)
4
Q
cos(π + x) = ?
A
-cos(x)
5
Q
sin(π + x) = ?
A
-sin(x)
6
Q
cos(π/2 - x) = ?
A
sin(x)
7
Q
sin(π/2 - x) = ?
A
cos(x)
8
Q
cos(π/2 + x) = ?
A
-sin(x)
9
Q
sin(π/2 + x) = ?
A
cos(x)
10
Q
cos(0) = ?
A
1
11
Q
sin(0) = ?
A
0
12
Q
cos(π/6) = ?
A
√3/2
13
Q
sin(π/6) = ?
A
1/2
14
Q
cos(π/4) = ?
A
√2/2
15
Q
sin(π/4) = ?
A
√2/2
16
Q
cos(π/3) = ?
A
1/2
17
Q
sin(π/3) = ?
A
√3/2
18
Q
cos(π/2) = ?
A
0
19
Q
sin(π/2) = ?
A
1
20
Q
cos u = cos v implies ….
A
u = v + 2kπ
OR
u = -v + 2kπ
21
Q
sin u = sin v implies ….
A
u = v + 2kπ
OR
u = π-v + 2kπ
22
Q
cos(a+b) = ?
A
cos(a)cos(b) - sin(a)sin(b)
23
Q
cos(a-b) = ?
A
cos(a)cos(b) + sin(a)sin(b)
24
Q
sin(a+b) = ?
A
sin(a)cos(b) + cos(a)sin(b)
25
sin(a-b) = ?
sin(a)*cos(b) - cos(a)*sin(b)
26
cos(2*a) = ? (3 forms)
1) cos²(a) - sin²(a)
2) 1 - 2*sin²(a)
3) 2*cos²(a) - 1
27
sin(2*a) = ?
2*sin(a)*cos(a)
28
cos²(a) = f(cos(2*a))
(1 + cos(2*a)) / 2
29
sin²(a) = f(sin(2*a))
(1 - cos(2*a)) / 2
30
cos(a)*cos(b) = ?
1/2*[cos(a+b) + cos(a-b)]
31
sin(a)*sin(b) = ?
1/2*[cos(a-b) - cos(a+b)]
32
sin(a)*cos(b) = ?
1/2*[sin(a+b) + sin(a-b)]
