unit circle Flashcards
math. 3. (37 cards)
1
Q
what is the ratio of sine?
A
opposite/hypotenuse
2
Q
what is the ratio of cosine?
A
adjacent/hypotenuse
3
Q
what is the ratio of tangent?
A
opposite/adjacent
4
Q
what is the ratio of cosecant?
A
hypotenuse/opposite
5
Q
what is the ratio of secant?
A
hypotenuse/adjacent
6
Q
what is the ratio of cotangent?
A
adjacent/opposite
7
Q
sin(30) =
A
1/2
8
Q
cos(30)
A
√3/2
9
Q
tan(30)
A
√3/3
10
Q
sin(45)
A
√2/2
11
Q
cos(45)
A
√2/2
12
Q
tan(45)
A
1
13
Q
sin(60)
A
√3/2
14
Q
cos(60)
A
1/2
15
Q
tan(60)
A
√3
16
Q
coterminal angle
A
an angle that (in standard position) falls at the same point as another/
17
Q
radian
A
a measure of a circle in which the arc length = the radius
18
Q
360 degrees =
A
2π radians
19
Q
0 degrees =
A
0 radians
20
Q
30 degrees =
A
π/6 radians
21
Q
45 degrees =
A
π/4 radians
22
Q
60 degrees =
A
π/3 radians
23
Q
90 degrees =
A
π/2 radians
24
Q
120 degrees =
A
2π/3 radians
25
135 degrees =
3π/4 radians
26
150 degrees =
5π/6 radians
27
180 degrees =
π radians
28
210 degrees =
7π/6 radians
29
225 degrees =
5π/4 radians
30
240 degrees =
4π/3 radians
31
270 degrees =
3π/2 radians
32
300 degrees =
5π/3 radians
33
315 degrees =
7π/4 radians
34
330 degrees =
11π/6 radians
35
equation for arc length
s = rθ
36
equation for sector area
A = 1/2θr²
37
amount of radians in a circle
2π radians
