The trigonometric functions for arbitrary angles Flashcards
1
Q
What is sin v equal to on the unit circle?
A
sin (v + n*2π) for all n ∈ Z
2
Q
What is Z?
A
All integers; all whole numbers including zero i.e. Zahlen
3
Q
What is cos v equal to on the unit circle?
A
cos (v+n*2π) for all n ∈ Z
4
Q
What is sin 0?
A
0
5
Q
What is sin π/2?
A
1
6
Q
What is sin π?
A
0
7
Q
What is sin 3π/2?
A
-1
8
Q
What is sin 2π?
A
0
9
Q
What is cos 0?
A
1
10
Q
What is cos π/2?
A
0
11
Q
What is cos π?
A
-1
12
Q
What is cos 3π/2?
A
0
13
Q
What is cos 2π?
A
1
14
Q
What is tan 0?
A
0
15
Q
What is tan π/2?
A
undefined
16
Q
What is tan π?
A
0
17
Q
What is tan 3π/2?
A
undefined
18
Q
What is tan 2π?
A
0
19
Q
What is cot 0?
A
undefined
20
Q
What is cot π/2?
A
0
21
Q
What is cot π?
A
undefined
22
Q
What is cot 3π/2?
A
0
23
Q
What is cot 2π?
A
undefined
24
Q
What values can sin v be?
A
-1 ≤ sin v ≤ 1
25
What values can cos v be?
-1 ≤ cos v ≤ 1
26
What signs (±) does sin v have in the different quadrants?
Positive in first and second quadrant, Negative in third and fourth quadrant.
27
What signs (±) does cos v have in the different quadrants?
Positive in first and fourth quadrant, Negative in second and third quadrant.
28
What signs (±) does tan v have in the different quadrants?
Positive in first and third quadrant, Negative in second and fourth quadrant.
29
What signs (±) does cot v have in the different quadrants?
Positive in first and third quadrant, Negative in second and fourth quadrant.
